Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(71,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.71");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.o (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.95446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} - 3 x^{17} + 21 x^{16} - 20 x^{15} + 180 x^{14} - 126 x^{13} + 1002 x^{12} - 270 x^{11} + 3294 x^{10} - 1172 x^{9} + 6585 x^{8} - 1464 x^{7} + 8092 x^{6} - 2088 x^{5} + \cdots + 81 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 181.3 | ||
Root | \(1.20734 + 2.09117i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 370.181 |
Dual form | 370.2.o.a.231.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.173648 | − | 0.984808i | 0.122788 | − | 0.696364i | ||||
\(3\) | 0.426173 | + | 2.41695i | 0.246051 | + | 1.39543i | 0.818038 | + | 0.575163i | \(0.195062\pi\) |
−0.571987 | + | 0.820263i | \(0.693827\pi\) | |||||||
\(4\) | −0.939693 | − | 0.342020i | −0.469846 | − | 0.171010i | ||||
\(5\) | 0.766044 | − | 0.642788i | 0.342585 | − | 0.287463i | ||||
\(6\) | 2.45423 | 1.00194 | ||||||||
\(7\) | −3.72980 | + | 3.12967i | −1.40973 | + | 1.18291i | −0.453153 | + | 0.891433i | \(0.649701\pi\) |
−0.956579 | + | 0.291473i | \(0.905855\pi\) | |||||||
\(8\) | −0.500000 | + | 0.866025i | −0.176777 | + | 0.306186i | ||||
\(9\) | −2.84094 | + | 1.03402i | −0.946980 | + | 0.344672i | ||||
\(10\) | −0.500000 | − | 0.866025i | −0.158114 | − | 0.273861i | ||||
\(11\) | −0.856002 | + | 1.48264i | −0.258094 | + | 0.447032i | −0.965731 | − | 0.259544i | \(-0.916428\pi\) |
0.707637 | + | 0.706576i | \(0.249761\pi\) | |||||||
\(12\) | 0.426173 | − | 2.41695i | 0.123026 | − | 0.697713i | ||||
\(13\) | 5.20412 | + | 1.89414i | 1.44336 | + | 0.525341i | 0.940729 | − | 0.339159i | \(-0.110142\pi\) |
0.502633 | + | 0.864500i | \(0.332365\pi\) | |||||||
\(14\) | 2.43445 | + | 4.21660i | 0.650635 | + | 1.12693i | ||||
\(15\) | 1.88005 | + | 1.57755i | 0.485427 | + | 0.407322i | ||||
\(16\) | 0.766044 | + | 0.642788i | 0.191511 | + | 0.160697i | ||||
\(17\) | −6.01497 | + | 2.18927i | −1.45884 | + | 0.530976i | −0.945047 | − | 0.326935i | \(-0.893984\pi\) |
−0.513798 | + | 0.857911i | \(0.671762\pi\) | |||||||
\(18\) | 0.524984 | + | 2.97733i | 0.123740 | + | 0.701765i | ||||
\(19\) | −0.404202 | − | 2.29235i | −0.0927304 | − | 0.525900i | −0.995419 | − | 0.0956062i | \(-0.969521\pi\) |
0.902689 | − | 0.430294i | \(-0.141590\pi\) | |||||||
\(20\) | −0.939693 | + | 0.342020i | −0.210122 | + | 0.0764780i | ||||
\(21\) | −9.15381 | − | 7.68095i | −1.99752 | − | 1.67612i | ||||
\(22\) | 1.31147 | + | 1.10045i | 0.279606 | + | 0.234618i | ||||
\(23\) | 2.13527 | + | 3.69840i | 0.445235 | + | 0.771169i | 0.998069 | − | 0.0621224i | \(-0.0197869\pi\) |
−0.552834 | + | 0.833292i | \(0.686454\pi\) | |||||||
\(24\) | −2.30623 | − | 0.839397i | −0.470756 | − | 0.171341i | ||||
\(25\) | 0.173648 | − | 0.984808i | 0.0347296 | − | 0.196962i | ||||
\(26\) | 2.76905 | − | 4.79614i | 0.543056 | − | 0.940601i | ||||
\(27\) | −0.0285488 | − | 0.0494479i | −0.00549421 | − | 0.00951625i | ||||
\(28\) | 4.57528 | − | 1.66527i | 0.864646 | − | 0.314706i | ||||
\(29\) | 0.304151 | − | 0.526805i | 0.0564794 | − | 0.0978252i | −0.836403 | − | 0.548114i | \(-0.815346\pi\) |
0.892883 | + | 0.450289i | \(0.148679\pi\) | |||||||
\(30\) | 1.88005 | − | 1.57755i | 0.343249 | − | 0.288020i | ||||
\(31\) | −0.470242 | −0.0844579 | −0.0422290 | − | 0.999108i | \(-0.513446\pi\) | ||||
−0.0422290 | + | 0.999108i | \(0.513446\pi\) | |||||||
\(32\) | 0.766044 | − | 0.642788i | 0.135419 | − | 0.113630i | ||||
\(33\) | −3.94827 | − | 1.43705i | −0.687305 | − | 0.250159i | ||||
\(34\) | 1.11152 | + | 6.30375i | 0.190624 | + | 1.08108i | ||||
\(35\) | −0.845477 | + | 4.79494i | −0.142912 | + | 0.810493i | ||||
\(36\) | 3.02326 | 0.503877 | ||||||||
\(37\) | −0.963008 | − | 6.00605i | −0.158318 | − | 0.987388i | ||||
\(38\) | −2.32771 | −0.377604 | ||||||||
\(39\) | −2.36019 | + | 13.3853i | −0.377933 | + | 2.14337i | ||||
\(40\) | 0.173648 | + | 0.984808i | 0.0274562 | + | 0.155712i | ||||
\(41\) | 8.81777 | + | 3.20941i | 1.37711 | + | 0.501225i | 0.921299 | − | 0.388854i | \(-0.127129\pi\) |
0.455806 | + | 0.890079i | \(0.349351\pi\) | |||||||
\(42\) | −9.15381 | + | 7.68095i | −1.41246 | + | 1.18520i | ||||
\(43\) | 4.62507 | 0.705317 | 0.352659 | − | 0.935752i | \(-0.385278\pi\) | ||||
0.352659 | + | 0.935752i | \(0.385278\pi\) | |||||||
\(44\) | 1.31147 | − | 1.10045i | 0.197712 | − | 0.165900i | ||||
\(45\) | −1.51163 | + | 2.61822i | −0.225341 | + | 0.390302i | ||||
\(46\) | 4.01300 | − | 1.46061i | 0.591684 | − | 0.215355i | ||||
\(47\) | 4.44560 | + | 7.70000i | 0.648457 | + | 1.12316i | 0.983491 | + | 0.180955i | \(0.0579188\pi\) |
−0.335034 | + | 0.942206i | \(0.608748\pi\) | |||||||
\(48\) | −1.22712 | + | 2.12543i | −0.177119 | + | 0.306779i | ||||
\(49\) | 2.90102 | − | 16.4525i | 0.414431 | − | 2.35035i | ||||
\(50\) | −0.939693 | − | 0.342020i | −0.132893 | − | 0.0483690i | ||||
\(51\) | −7.85477 | − | 13.6049i | −1.09989 | − | 1.90506i | ||||
\(52\) | −4.24244 | − | 3.55983i | −0.588320 | − | 0.493659i | ||||
\(53\) | −7.58694 | − | 6.36619i | −1.04215 | − | 0.874464i | −0.0498998 | − | 0.998754i | \(-0.515890\pi\) |
−0.992246 | + | 0.124290i | \(0.960335\pi\) | |||||||
\(54\) | −0.0536541 | + | 0.0195285i | −0.00730140 | + | 0.00265749i | ||||
\(55\) | 0.297286 | + | 1.68599i | 0.0400861 | + | 0.227339i | ||||
\(56\) | −0.845477 | − | 4.79494i | −0.112982 | − | 0.640751i | ||||
\(57\) | 5.36822 | − | 1.95387i | 0.711038 | − | 0.258797i | ||||
\(58\) | −0.465986 | − | 0.391009i | −0.0611870 | − | 0.0513420i | ||||
\(59\) | −2.73315 | − | 2.29338i | −0.355825 | − | 0.298573i | 0.447299 | − | 0.894385i | \(-0.352386\pi\) |
−0.803124 | + | 0.595812i | \(0.796830\pi\) | |||||||
\(60\) | −1.22712 | − | 2.12543i | −0.158420 | − | 0.274392i | ||||
\(61\) | 11.4106 | + | 4.15313i | 1.46098 | + | 0.531754i | 0.945635 | − | 0.325229i | \(-0.105441\pi\) |
0.515346 | + | 0.856982i | \(0.327664\pi\) | |||||||
\(62\) | −0.0816566 | + | 0.463098i | −0.0103704 | + | 0.0588135i | ||||
\(63\) | 7.36000 | − | 12.7479i | 0.927273 | − | 1.60608i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 5.20412 | − | 1.89414i | 0.645491 | − | 0.234940i | ||||
\(66\) | −2.10083 | + | 3.63874i | −0.258594 | + | 0.447898i | ||||
\(67\) | 9.53915 | − | 8.00430i | 1.16539 | − | 0.977881i | 0.165427 | − | 0.986222i | \(-0.447100\pi\) |
0.999965 | + | 0.00834145i | \(0.00265520\pi\) | |||||||
\(68\) | 6.40100 | 0.776235 | ||||||||
\(69\) | −8.02884 | + | 6.73700i | −0.966559 | + | 0.811039i | ||||
\(70\) | 4.57528 | + | 1.66527i | 0.546850 | + | 0.199037i | ||||
\(71\) | −1.62659 | − | 9.22487i | −0.193041 | − | 1.09479i | −0.915181 | − | 0.403043i | \(-0.867952\pi\) |
0.722140 | − | 0.691747i | \(-0.243159\pi\) | |||||||
\(72\) | 0.524984 | − | 2.97733i | 0.0618700 | − | 0.350882i | ||||
\(73\) | 8.42854 | 0.986486 | 0.493243 | − | 0.869892i | \(-0.335811\pi\) | ||||
0.493243 | + | 0.869892i | \(0.335811\pi\) | |||||||
\(74\) | −6.08203 | − | 0.0945612i | −0.707021 | − | 0.0109925i | ||||
\(75\) | 2.45423 | 0.283391 | ||||||||
\(76\) | −0.404202 | + | 2.29235i | −0.0463652 | + | 0.262950i | ||||
\(77\) | −1.44746 | − | 8.20895i | −0.164953 | − | 0.935497i | ||||
\(78\) | 12.7721 | + | 4.64867i | 1.44616 | + | 0.526358i | ||||
\(79\) | −7.88571 | + | 6.61689i | −0.887211 | + | 0.744459i | −0.967649 | − | 0.252301i | \(-0.918813\pi\) |
0.0804374 | + | 0.996760i | \(0.474368\pi\) | |||||||
\(80\) | 1.00000 | 0.111803 | ||||||||
\(81\) | −6.84052 | + | 5.73988i | −0.760058 | + | 0.637764i | ||||
\(82\) | 4.69184 | − | 8.12651i | 0.518127 | − | 0.897422i | ||||
\(83\) | −0.117480 | + | 0.0427591i | −0.0128951 | + | 0.00469342i | −0.348460 | − | 0.937324i | \(-0.613295\pi\) |
0.335565 | + | 0.942017i | \(0.391073\pi\) | |||||||
\(84\) | 5.97472 | + | 10.3485i | 0.651896 | + | 1.12912i | ||||
\(85\) | −3.20050 | + | 5.54343i | −0.347143 | + | 0.601269i | ||||
\(86\) | 0.803136 | − | 4.55481i | 0.0866043 | − | 0.491158i | ||||
\(87\) | 1.40288 | + | 0.510607i | 0.150405 | + | 0.0547428i | ||||
\(88\) | −0.856002 | − | 1.48264i | −0.0912501 | − | 0.158050i | ||||
\(89\) | −2.48909 | − | 2.08860i | −0.263843 | − | 0.221391i | 0.501263 | − | 0.865295i | \(-0.332869\pi\) |
−0.765106 | + | 0.643904i | \(0.777313\pi\) | |||||||
\(90\) | 2.31596 | + | 1.94332i | 0.244123 | + | 0.204844i | ||||
\(91\) | −25.3384 | + | 9.22242i | −2.65618 | + | 0.966772i | ||||
\(92\) | −0.741572 | − | 4.20566i | −0.0773142 | − | 0.438471i | ||||
\(93\) | −0.200404 | − | 1.13655i | −0.0207810 | − | 0.117855i | ||||
\(94\) | 8.35499 | − | 3.04097i | 0.861752 | − | 0.313652i | ||||
\(95\) | −1.78313 | − | 1.49622i | −0.182945 | − | 0.153509i | ||||
\(96\) | 1.88005 | + | 1.57755i | 0.191882 | + | 0.161008i | ||||
\(97\) | 2.43778 | + | 4.22236i | 0.247519 | + | 0.428715i | 0.962837 | − | 0.270084i | \(-0.0870514\pi\) |
−0.715318 | + | 0.698799i | \(0.753718\pi\) | |||||||
\(98\) | −15.6988 | − | 5.71389i | −1.58582 | − | 0.577190i | ||||
\(99\) | 0.898775 | − | 5.09721i | 0.0903303 | − | 0.512289i | ||||
\(100\) | −0.500000 | + | 0.866025i | −0.0500000 | + | 0.0866025i | ||||
\(101\) | −7.98345 | − | 13.8277i | −0.794383 | − | 1.37591i | −0.923230 | − | 0.384247i | \(-0.874461\pi\) |
0.128848 | − | 0.991664i | \(-0.458872\pi\) | |||||||
\(102\) | −14.7621 | + | 5.37298i | −1.46167 | + | 0.532005i | ||||
\(103\) | −3.88600 | + | 6.73075i | −0.382899 | + | 0.663201i | −0.991475 | − | 0.130295i | \(-0.958408\pi\) |
0.608576 | + | 0.793496i | \(0.291741\pi\) | |||||||
\(104\) | −4.24244 | + | 3.55983i | −0.416005 | + | 0.349070i | ||||
\(105\) | −11.9494 | −1.16615 | ||||||||
\(106\) | −7.58694 | + | 6.36619i | −0.736908 | + | 0.618339i | ||||
\(107\) | 9.97392 | + | 3.63021i | 0.964215 | + | 0.350946i | 0.775684 | − | 0.631122i | \(-0.217405\pi\) |
0.188531 | + | 0.982067i | \(0.439627\pi\) | |||||||
\(108\) | 0.00991488 | + | 0.0562301i | 0.000954060 | + | 0.00541074i | ||||
\(109\) | 0.130011 | − | 0.737328i | 0.0124528 | − | 0.0706232i | −0.977948 | − | 0.208848i | \(-0.933029\pi\) |
0.990401 | + | 0.138225i | \(0.0441397\pi\) | |||||||
\(110\) | 1.71200 | 0.163233 | ||||||||
\(111\) | 14.1059 | − | 4.88716i | 1.33887 | − | 0.463869i | ||||
\(112\) | −4.86891 | −0.460069 | ||||||||
\(113\) | −0.465913 | + | 2.64232i | −0.0438294 | + | 0.248569i | −0.998849 | − | 0.0479753i | \(-0.984723\pi\) |
0.955019 | + | 0.296544i | \(0.0958342\pi\) | |||||||
\(114\) | −0.992007 | − | 5.62595i | −0.0929100 | − | 0.526919i | ||||
\(115\) | 4.01300 | + | 1.46061i | 0.374214 | + | 0.136203i | ||||
\(116\) | −0.465986 | + | 0.391009i | −0.0432657 | + | 0.0363042i | ||||
\(117\) | −16.7432 | −1.54791 | ||||||||
\(118\) | −2.73315 | + | 2.29338i | −0.251606 | + | 0.211123i | ||||
\(119\) | 15.5829 | − | 26.9904i | 1.42849 | − | 2.47421i | ||||
\(120\) | −2.30623 | + | 0.839397i | −0.210529 | + | 0.0766262i | ||||
\(121\) | 4.03452 | + | 6.98800i | 0.366775 | + | 0.635273i | ||||
\(122\) | 6.07147 | − | 10.5161i | 0.549685 | − | 0.952082i | ||||
\(123\) | −3.99907 | + | 22.6799i | −0.360584 | + | 2.04498i | ||||
\(124\) | 0.441883 | + | 0.160832i | 0.0396822 | + | 0.0144432i | ||||
\(125\) | −0.500000 | − | 0.866025i | −0.0447214 | − | 0.0774597i | ||||
\(126\) | −11.2762 | − | 9.46184i | −1.00456 | − | 0.842927i | ||||
\(127\) | −8.02245 | − | 6.73164i | −0.711877 | − | 0.597336i | 0.213248 | − | 0.976998i | \(-0.431596\pi\) |
−0.925125 | + | 0.379662i | \(0.876040\pi\) | |||||||
\(128\) | −0.939693 | + | 0.342020i | −0.0830579 | + | 0.0302306i | ||||
\(129\) | 1.97108 | + | 11.1786i | 0.173544 | + | 0.984218i | ||||
\(130\) | −0.961682 | − | 5.45397i | −0.0843451 | − | 0.478345i | ||||
\(131\) | −11.8142 | + | 4.30001i | −1.03221 | + | 0.375694i | −0.801922 | − | 0.597428i | \(-0.796189\pi\) |
−0.230288 | + | 0.973122i | \(0.573967\pi\) | |||||||
\(132\) | 3.21866 | + | 2.70077i | 0.280148 | + | 0.235072i | ||||
\(133\) | 8.68189 | + | 7.28497i | 0.752815 | + | 0.631687i | ||||
\(134\) | −6.22624 | − | 10.7842i | −0.537865 | − | 0.931610i | ||||
\(135\) | −0.0536541 | − | 0.0195285i | −0.00461781 | − | 0.00168075i | ||||
\(136\) | 1.11152 | − | 6.30375i | 0.0953122 | − | 0.540542i | ||||
\(137\) | 0.328057 | − | 0.568211i | 0.0280278 | − | 0.0485455i | −0.851671 | − | 0.524076i | \(-0.824411\pi\) |
0.879699 | + | 0.475531i | \(0.157744\pi\) | |||||||
\(138\) | 5.24045 | + | 9.07673i | 0.446097 | + | 0.772663i | ||||
\(139\) | 15.6294 | − | 5.68864i | 1.32567 | − | 0.482504i | 0.420399 | − | 0.907340i | \(-0.361890\pi\) |
0.905271 | + | 0.424835i | \(0.139668\pi\) | |||||||
\(140\) | 2.43445 | − | 4.21660i | 0.205749 | − | 0.356368i | ||||
\(141\) | −16.7159 | + | 14.0263i | −1.40773 | + | 1.18123i | ||||
\(142\) | −9.36718 | −0.786076 | ||||||||
\(143\) | −7.26306 | + | 6.09443i | −0.607368 | + | 0.509642i | ||||
\(144\) | −2.84094 | − | 1.03402i | −0.236745 | − | 0.0861681i | ||||
\(145\) | −0.105630 | − | 0.599060i | −0.00877213 | − | 0.0497492i | ||||
\(146\) | 1.46360 | − | 8.30049i | 0.121128 | − | 0.686954i | ||||
\(147\) | 41.0011 | 3.38172 | ||||||||
\(148\) | −1.14926 | + | 5.97321i | −0.0944684 | + | 0.490995i | ||||
\(149\) | −5.96317 | −0.488522 | −0.244261 | − | 0.969710i | \(-0.578545\pi\) | ||||
−0.244261 | + | 0.969710i | \(0.578545\pi\) | |||||||
\(150\) | 0.426173 | − | 2.41695i | 0.0347969 | − | 0.197343i | ||||
\(151\) | 2.95063 | + | 16.7338i | 0.240119 | + | 1.36178i | 0.831561 | + | 0.555434i | \(0.187448\pi\) |
−0.591442 | + | 0.806348i | \(0.701441\pi\) | |||||||
\(152\) | 2.18733 | + | 0.796123i | 0.177416 | + | 0.0645741i | ||||
\(153\) | 14.8244 | − | 12.4392i | 1.19848 | − | 1.00565i | ||||
\(154\) | −8.33559 | −0.671701 | ||||||||
\(155\) | −0.360226 | + | 0.302266i | −0.0289341 | + | 0.0242786i | ||||
\(156\) | 6.79590 | − | 11.7709i | 0.544108 | − | 0.942422i | ||||
\(157\) | 5.05836 | − | 1.84109i | 0.403701 | − | 0.146935i | −0.132186 | − | 0.991225i | \(-0.542200\pi\) |
0.535887 | + | 0.844290i | \(0.319977\pi\) | |||||||
\(158\) | 5.14703 | + | 8.91492i | 0.409476 | + | 0.709233i | ||||
\(159\) | 12.1534 | − | 21.0503i | 0.963829 | − | 1.66940i | ||||
\(160\) | 0.173648 | − | 0.984808i | 0.0137281 | − | 0.0778559i | ||||
\(161\) | −19.5389 | − | 7.11158i | −1.53988 | − | 0.560471i | ||||
\(162\) | 4.46483 | + | 7.73332i | 0.350790 | + | 0.607587i | ||||
\(163\) | 8.43555 | + | 7.07826i | 0.660723 | + | 0.554412i | 0.910303 | − | 0.413942i | \(-0.135848\pi\) |
−0.249580 | + | 0.968354i | \(0.580293\pi\) | |||||||
\(164\) | −7.18832 | − | 6.03171i | −0.561313 | − | 0.470998i | ||||
\(165\) | −3.94827 | + | 1.43705i | −0.307372 | + | 0.111874i | ||||
\(166\) | 0.0217094 | + | 0.123120i | 0.00168497 | + | 0.00955596i | ||||
\(167\) | 0.377107 | + | 2.13868i | 0.0291814 | + | 0.165496i | 0.995916 | − | 0.0902861i | \(-0.0287782\pi\) |
−0.966734 | + | 0.255782i | \(0.917667\pi\) | |||||||
\(168\) | 11.2288 | − | 4.08695i | 0.866321 | − | 0.315315i | ||||
\(169\) | 13.5365 | + | 11.3585i | 1.04127 | + | 0.873727i | ||||
\(170\) | 4.90345 | + | 4.11448i | 0.376077 | + | 0.315566i | ||||
\(171\) | 3.51864 | + | 6.09446i | 0.269077 | + | 0.466055i | ||||
\(172\) | −4.34615 | − | 1.58187i | −0.331391 | − | 0.120616i | ||||
\(173\) | −0.275368 | + | 1.56169i | −0.0209358 | + | 0.118733i | −0.993485 | − | 0.113966i | \(-0.963645\pi\) |
0.972549 | + | 0.232699i | \(0.0747556\pi\) | |||||||
\(174\) | 0.746457 | − | 1.29290i | 0.0565888 | − | 0.0980146i | ||||
\(175\) | 2.43445 | + | 4.21660i | 0.184027 | + | 0.318745i | ||||
\(176\) | −1.60876 | + | 0.585540i | −0.121265 | + | 0.0441367i | ||||
\(177\) | 4.37819 | − | 7.58325i | 0.329085 | − | 0.569992i | ||||
\(178\) | −2.48909 | + | 2.08860i | −0.186565 | + | 0.156547i | ||||
\(179\) | 9.81806 | 0.733836 | 0.366918 | − | 0.930253i | \(-0.380413\pi\) | ||||
0.366918 | + | 0.930253i | \(0.380413\pi\) | |||||||
\(180\) | 2.31596 | − | 1.94332i | 0.172621 | − | 0.144846i | ||||
\(181\) | 13.4175 | + | 4.88359i | 0.997318 | + | 0.362994i | 0.788550 | − | 0.614971i | \(-0.210832\pi\) |
0.208768 | + | 0.977965i | \(0.433055\pi\) | |||||||
\(182\) | 4.68234 | + | 26.5549i | 0.347078 | + | 1.96838i | ||||
\(183\) | −5.17499 | + | 29.3489i | −0.382547 | + | 2.16953i | ||||
\(184\) | −4.27054 | −0.314828 | ||||||||
\(185\) | −4.59832 | − | 3.98189i | −0.338075 | − | 0.292754i | ||||
\(186\) | −1.15408 | −0.0846215 | ||||||||
\(187\) | 1.90293 | − | 10.7920i | 0.139156 | − | 0.789193i | ||||
\(188\) | −1.54394 | − | 8.75612i | −0.112603 | − | 0.638606i | ||||
\(189\) | 0.261237 | + | 0.0950825i | 0.0190022 | + | 0.00691623i | ||||
\(190\) | −1.78313 | + | 1.49622i | −0.129362 | + | 0.108547i | ||||
\(191\) | −3.92648 | −0.284110 | −0.142055 | − | 0.989859i | \(-0.545371\pi\) | ||||
−0.142055 | + | 0.989859i | \(0.545371\pi\) | |||||||
\(192\) | 1.88005 | − | 1.57755i | 0.135681 | − | 0.113850i | ||||
\(193\) | −1.38873 | + | 2.40536i | −0.0999632 | + | 0.173141i | −0.911669 | − | 0.410925i | \(-0.865206\pi\) |
0.811706 | + | 0.584066i | \(0.198539\pi\) | |||||||
\(194\) | 4.58153 | − | 1.66754i | 0.328934 | − | 0.119722i | ||||
\(195\) | 6.79590 | + | 11.7709i | 0.486665 | + | 0.842928i | ||||
\(196\) | −8.35314 | + | 14.4681i | −0.596653 | + | 1.03343i | ||||
\(197\) | −2.47328 | + | 14.0267i | −0.176214 | + | 0.999361i | 0.760519 | + | 0.649316i | \(0.224945\pi\) |
−0.936733 | + | 0.350045i | \(0.886166\pi\) | |||||||
\(198\) | −4.86370 | − | 1.77024i | −0.345648 | − | 0.125806i | ||||
\(199\) | −7.32946 | − | 12.6950i | −0.519572 | − | 0.899925i | −0.999741 | − | 0.0227492i | \(-0.992758\pi\) |
0.480169 | − | 0.877176i | \(-0.340575\pi\) | |||||||
\(200\) | 0.766044 | + | 0.642788i | 0.0541675 | + | 0.0454519i | ||||
\(201\) | 23.4113 | + | 19.6444i | 1.65131 | + | 1.38561i | ||||
\(202\) | −15.0040 | + | 5.46100i | −1.05568 | + | 0.384235i | ||||
\(203\) | 0.514305 | + | 2.91677i | 0.0360971 | + | 0.204717i | ||||
\(204\) | 2.72793 | + | 15.4709i | 0.190994 | + | 1.08318i | ||||
\(205\) | 8.81777 | − | 3.20941i | 0.615860 | − | 0.224155i | ||||
\(206\) | 5.95370 | + | 4.99575i | 0.414814 | + | 0.348070i | ||||
\(207\) | −9.89038 | − | 8.29902i | −0.687429 | − | 0.576821i | ||||
\(208\) | 2.76905 | + | 4.79614i | 0.191999 | + | 0.332553i | ||||
\(209\) | 3.74472 | + | 1.36297i | 0.259027 | + | 0.0942783i | ||||
\(210\) | −2.07500 | + | 11.7679i | −0.143189 | + | 0.812063i | ||||
\(211\) | −1.02181 | + | 1.76982i | −0.0703442 | + | 0.121840i | −0.899052 | − | 0.437842i | \(-0.855743\pi\) |
0.828708 | + | 0.559681i | \(0.189076\pi\) | |||||||
\(212\) | 4.95202 | + | 8.57715i | 0.340106 | + | 0.589081i | ||||
\(213\) | 21.6028 | − | 7.86279i | 1.48020 | − | 0.538749i | ||||
\(214\) | 5.30701 | − | 9.19201i | 0.362780 | − | 0.628353i | ||||
\(215\) | 3.54301 | − | 2.97294i | 0.241631 | − | 0.202753i | ||||
\(216\) | 0.0570975 | 0.00388499 | ||||||||
\(217\) | 1.75391 | − | 1.47170i | 0.119063 | − | 0.0999058i | ||||
\(218\) | −0.703550 | − | 0.256071i | −0.0476505 | − | 0.0173433i | ||||
\(219\) | 3.59202 | + | 20.3714i | 0.242726 | + | 1.37657i | ||||
\(220\) | 0.297286 | − | 1.68599i | 0.0200430 | − | 0.113670i | ||||
\(221\) | −35.4494 | −2.38459 | ||||||||
\(222\) | −2.36345 | − | 14.7402i | −0.158624 | − | 0.989301i | ||||
\(223\) | −8.90249 | −0.596155 | −0.298077 | − | 0.954542i | \(-0.596345\pi\) | ||||
−0.298077 | + | 0.954542i | \(0.596345\pi\) | |||||||
\(224\) | −0.845477 | + | 4.79494i | −0.0564908 | + | 0.320375i | ||||
\(225\) | 0.524984 | + | 2.97733i | 0.0349990 | + | 0.198489i | ||||
\(226\) | 2.52128 | + | 0.917670i | 0.167713 | + | 0.0610425i | ||||
\(227\) | 1.35138 | − | 1.13395i | 0.0896945 | − | 0.0752626i | −0.596838 | − | 0.802362i | \(-0.703576\pi\) |
0.686532 | + | 0.727099i | \(0.259132\pi\) | |||||||
\(228\) | −5.71274 | −0.378336 | ||||||||
\(229\) | −16.6606 | + | 13.9799i | −1.10096 | + | 0.923818i | −0.997490 | − | 0.0708145i | \(-0.977440\pi\) |
−0.103474 | + | 0.994632i | \(0.532996\pi\) | |||||||
\(230\) | 2.13527 | − | 3.69840i | 0.140796 | − | 0.243865i | ||||
\(231\) | 19.2237 | − | 6.99687i | 1.26483 | − | 0.460360i | ||||
\(232\) | 0.304151 | + | 0.526805i | 0.0199685 | + | 0.0345864i | ||||
\(233\) | 6.10307 | − | 10.5708i | 0.399825 | − | 0.692517i | −0.593879 | − | 0.804554i | \(-0.702404\pi\) |
0.993704 | + | 0.112037i | \(0.0357375\pi\) | |||||||
\(234\) | −2.90742 | + | 16.4888i | −0.190064 | + | 1.07791i | ||||
\(235\) | 8.35499 | + | 3.04097i | 0.545020 | + | 0.198371i | ||||
\(236\) | 1.78393 | + | 3.08986i | 0.116124 | + | 0.201133i | ||||
\(237\) | −19.3534 | − | 16.2394i | −1.25714 | − | 1.05486i | ||||
\(238\) | −23.8745 | − | 20.0330i | −1.54755 | − | 1.29855i | ||||
\(239\) | −7.53332 | + | 2.74190i | −0.487290 | + | 0.177359i | −0.573969 | − | 0.818877i | \(-0.694597\pi\) |
0.0866788 | + | 0.996236i | \(0.472375\pi\) | |||||||
\(240\) | 0.426173 | + | 2.41695i | 0.0275094 | + | 0.156013i | ||||
\(241\) | −2.42969 | − | 13.7795i | −0.156510 | − | 0.887614i | −0.957392 | − | 0.288791i | \(-0.906747\pi\) |
0.800882 | − | 0.598822i | \(-0.204365\pi\) | |||||||
\(242\) | 7.58242 | − | 2.75978i | 0.487417 | − | 0.177405i | ||||
\(243\) | −16.9195 | − | 14.1971i | −1.08538 | − | 0.910745i | ||||
\(244\) | −9.30203 | − | 7.80533i | −0.595501 | − | 0.499685i | ||||
\(245\) | −8.35314 | − | 14.4681i | −0.533663 | − | 0.924331i | ||||
\(246\) | 21.6409 | + | 7.87664i | 1.37977 | + | 0.502196i | ||||
\(247\) | 2.23852 | − | 12.6953i | 0.142433 | − | 0.807779i | ||||
\(248\) | 0.235121 | − | 0.407241i | 0.0149302 | − | 0.0258599i | ||||
\(249\) | −0.153413 | − | 0.265720i | −0.00972217 | − | 0.0168393i | ||||
\(250\) | −0.939693 | + | 0.342020i | −0.0594314 | + | 0.0216313i | ||||
\(251\) | 7.42686 | − | 12.8637i | 0.468780 | − | 0.811950i | −0.530584 | − | 0.847633i | \(-0.678027\pi\) |
0.999363 | + | 0.0356826i | \(0.0113605\pi\) | |||||||
\(252\) | −11.2762 | + | 9.46184i | −0.710332 | + | 0.596040i | ||||
\(253\) | −7.31118 | −0.459650 | ||||||||
\(254\) | −8.02245 | + | 6.73164i | −0.503373 | + | 0.422380i | ||||
\(255\) | −14.7621 | − | 5.37298i | −0.924442 | − | 0.336469i | ||||
\(256\) | 0.173648 | + | 0.984808i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | −0.946093 | + | 5.36556i | −0.0590156 | + | 0.334694i | −0.999993 | − | 0.00377553i | \(-0.998798\pi\) |
0.940977 | + | 0.338470i | \(0.109909\pi\) | |||||||
\(258\) | 11.3510 | 0.706683 | ||||||||
\(259\) | 22.3888 | + | 19.3875i | 1.39117 | + | 1.20468i | ||||
\(260\) | −5.53811 | −0.343459 | ||||||||
\(261\) | −0.319349 | + | 1.81112i | −0.0197672 | + | 0.112105i | ||||
\(262\) | 2.18317 | + | 12.3814i | 0.134877 | + | 0.764925i | ||||
\(263\) | −26.0585 | − | 9.48451i | −1.60683 | − | 0.584840i | −0.626023 | − | 0.779804i | \(-0.715319\pi\) |
−0.980810 | + | 0.194965i | \(0.937541\pi\) | |||||||
\(264\) | 3.21866 | − | 2.70077i | 0.198095 | − | 0.166221i | ||||
\(265\) | −9.90404 | −0.608400 | ||||||||
\(266\) | 8.68189 | − | 7.28497i | 0.532321 | − | 0.446670i | ||||
\(267\) | 3.98724 | − | 6.90611i | 0.244015 | − | 0.422647i | ||||
\(268\) | −11.7015 | + | 4.25900i | −0.714783 | + | 0.260160i | ||||
\(269\) | 9.09346 | + | 15.7503i | 0.554438 | + | 0.960315i | 0.997947 | + | 0.0640448i | \(0.0204001\pi\) |
−0.443509 | + | 0.896270i | \(0.646267\pi\) | |||||||
\(270\) | −0.0285488 | + | 0.0494479i | −0.00173742 | + | 0.00300930i | ||||
\(271\) | 4.09801 | − | 23.2410i | 0.248936 | − | 1.41179i | −0.562234 | − | 0.826978i | \(-0.690058\pi\) |
0.811170 | − | 0.584810i | \(-0.198831\pi\) | |||||||
\(272\) | −6.01497 | − | 2.18927i | −0.364711 | − | 0.132744i | ||||
\(273\) | −33.0886 | − | 57.3112i | −2.00262 | − | 3.46863i | ||||
\(274\) | −0.502612 | − | 0.421742i | −0.0303639 | − | 0.0254783i | ||||
\(275\) | 1.31147 | + | 1.10045i | 0.0790846 | + | 0.0663599i | ||||
\(276\) | 9.84883 | − | 3.58468i | 0.592830 | − | 0.215772i | ||||
\(277\) | 4.34369 | + | 24.6343i | 0.260987 | + | 1.48013i | 0.780223 | + | 0.625501i | \(0.215105\pi\) |
−0.519236 | + | 0.854631i | \(0.673783\pi\) | |||||||
\(278\) | −2.88820 | − | 16.3798i | −0.173223 | − | 0.982394i | ||||
\(279\) | 1.33593 | − | 0.486238i | 0.0799800 | − | 0.0291103i | ||||
\(280\) | −3.72980 | − | 3.12967i | −0.222898 | − | 0.187034i | ||||
\(281\) | 14.4106 | + | 12.0919i | 0.859662 | + | 0.721342i | 0.961895 | − | 0.273418i | \(-0.0881542\pi\) |
−0.102233 | + | 0.994760i | \(0.532599\pi\) | |||||||
\(282\) | 10.9105 | + | 18.8976i | 0.649713 | + | 1.12534i | ||||
\(283\) | 12.0670 | + | 4.39202i | 0.717308 | + | 0.261079i | 0.674782 | − | 0.738017i | \(-0.264237\pi\) |
0.0425253 | + | 0.999095i | \(0.486460\pi\) | |||||||
\(284\) | −1.62659 | + | 9.22487i | −0.0965206 | + | 0.547395i | ||||
\(285\) | 2.85637 | − | 4.94738i | 0.169197 | − | 0.293057i | ||||
\(286\) | 4.74063 | + | 8.21101i | 0.280319 | + | 0.485527i | ||||
\(287\) | −42.9330 | + | 15.6263i | −2.53425 | + | 0.922392i | ||||
\(288\) | −1.51163 | + | 2.61822i | −0.0890738 | + | 0.154280i | ||||
\(289\) | 18.3642 | − | 15.4094i | 1.08025 | − | 0.906436i | ||||
\(290\) | −0.608302 | −0.0357207 | ||||||||
\(291\) | −9.16631 | + | 7.69144i | −0.537338 | + | 0.450880i | ||||
\(292\) | −7.92024 | − | 2.88273i | −0.463497 | − | 0.168699i | ||||
\(293\) | 4.06027 | + | 23.0269i | 0.237204 | + | 1.34525i | 0.837923 | + | 0.545788i | \(0.183770\pi\) |
−0.600719 | + | 0.799460i | \(0.705119\pi\) | |||||||
\(294\) | 7.11977 | − | 40.3782i | 0.415233 | − | 2.35491i | ||||
\(295\) | −3.56787 | −0.207729 | ||||||||
\(296\) | 5.68289 | + | 2.16903i | 0.330312 | + | 0.126073i | ||||
\(297\) | 0.0977511 | 0.00567210 | ||||||||
\(298\) | −1.03549 | + | 5.87257i | −0.0599845 | + | 0.340189i | ||||
\(299\) | 4.10690 | + | 23.2914i | 0.237508 | + | 1.34698i | ||||
\(300\) | −2.30623 | − | 0.839397i | −0.133150 | − | 0.0484626i | ||||
\(301\) | −17.2506 | + | 14.4750i | −0.994308 | + | 0.834324i | ||||
\(302\) | 16.9920 | 0.977779 | ||||||||
\(303\) | 30.0186 | − | 25.1886i | 1.72452 | − | 1.44705i | ||||
\(304\) | 1.16385 | − | 2.01585i | 0.0667516 | − | 0.115617i | ||||
\(305\) | 11.4106 | − | 4.15313i | 0.653371 | − | 0.237807i | ||||
\(306\) | −9.67596 | − | 16.7592i | −0.553138 | − | 0.958063i | ||||
\(307\) | 4.28809 | − | 7.42720i | 0.244734 | − | 0.423892i | −0.717322 | − | 0.696741i | \(-0.754633\pi\) |
0.962057 | + | 0.272849i | \(0.0879659\pi\) | |||||||
\(308\) | −1.44746 | + | 8.20895i | −0.0824767 | + | 0.467748i | ||||
\(309\) | −17.9240 | − | 6.52380i | −1.01966 | − | 0.371126i | ||||
\(310\) | 0.235121 | + | 0.407241i | 0.0133540 | + | 0.0231298i | ||||
\(311\) | 2.24764 | + | 1.88600i | 0.127452 | + | 0.106945i | 0.704286 | − | 0.709917i | \(-0.251267\pi\) |
−0.576834 | + | 0.816862i | \(0.695712\pi\) | |||||||
\(312\) | −10.4119 | − | 8.73665i | −0.589459 | − | 0.494615i | ||||
\(313\) | −27.0980 | + | 9.86287i | −1.53167 | + | 0.557482i | −0.964030 | − | 0.265794i | \(-0.914366\pi\) |
−0.567641 | + | 0.823277i | \(0.692144\pi\) | |||||||
\(314\) | −0.934748 | − | 5.30122i | −0.0527509 | − | 0.299165i | ||||
\(315\) | −2.55610 | − | 14.4964i | −0.144020 | − | 0.816778i | ||||
\(316\) | 9.67325 | − | 3.52078i | 0.544163 | − | 0.198059i | ||||
\(317\) | −24.1310 | − | 20.2483i | −1.35533 | − | 1.13726i | −0.977393 | − | 0.211431i | \(-0.932188\pi\) |
−0.377941 | − | 0.925830i | \(-0.623368\pi\) | |||||||
\(318\) | −18.6201 | − | 15.6241i | −1.04416 | − | 0.876158i | ||||
\(319\) | 0.520707 | + | 0.901891i | 0.0291540 | + | 0.0504962i | ||||
\(320\) | −0.939693 | − | 0.342020i | −0.0525304 | − | 0.0191195i | ||||
\(321\) | −4.52341 | + | 25.6536i | −0.252472 | + | 1.43184i | ||||
\(322\) | −10.3964 | + | 18.0072i | −0.579371 | + | 1.00350i | ||||
\(323\) | 7.44983 | + | 12.9035i | 0.414520 | + | 0.717969i | ||||
\(324\) | 8.39114 | − | 3.05412i | 0.466174 | − | 0.169674i | ||||
\(325\) | 2.76905 | − | 4.79614i | 0.153599 | − | 0.266042i | ||||
\(326\) | 8.43555 | − | 7.07826i | 0.467202 | − | 0.392029i | ||||
\(327\) | 1.83749 | 0.101614 | ||||||||
\(328\) | −7.18832 | + | 6.03171i | −0.396908 | + | 0.333046i | ||||
\(329\) | −40.6797 | − | 14.8062i | −2.24274 | − | 0.816292i | ||||
\(330\) | 0.729610 | + | 4.13782i | 0.0401637 | + | 0.227780i | ||||
\(331\) | 1.41918 | − | 8.04856i | 0.0780051 | − | 0.442389i | −0.920643 | − | 0.390406i | \(-0.872335\pi\) |
0.998648 | − | 0.0519831i | \(-0.0165542\pi\) | |||||||
\(332\) | 0.125019 | 0.00686132 | ||||||||
\(333\) | 8.94621 | + | 16.0671i | 0.490249 | + | 0.880469i | ||||
\(334\) | 2.17167 | 0.118829 | ||||||||
\(335\) | 2.16235 | − | 12.2633i | 0.118142 | − | 0.670015i | ||||
\(336\) | −2.07500 | − | 11.7679i | −0.113200 | − | 0.641992i | ||||
\(337\) | −18.8898 | − | 6.87532i | −1.02899 | − | 0.374523i | −0.228296 | − | 0.973592i | \(-0.573315\pi\) |
−0.800697 | + | 0.599069i | \(0.795537\pi\) | |||||||
\(338\) | 13.5365 | − | 11.3585i | 0.736287 | − | 0.617818i | ||||
\(339\) | −6.58492 | −0.357644 | ||||||||
\(340\) | 4.90345 | − | 4.11448i | 0.265927 | − | 0.223139i | ||||
\(341\) | 0.402528 | − | 0.697199i | 0.0217981 | − | 0.0377554i | ||||
\(342\) | 6.61288 | − | 2.40689i | 0.357584 | − | 0.130150i | ||||
\(343\) | 23.6295 | + | 40.9275i | 1.27587 | + | 2.20988i | ||||
\(344\) | −2.31254 | + | 4.00543i | −0.124684 | + | 0.215958i | ||||
\(345\) | −1.81999 | + | 10.3217i | −0.0979850 | + | 0.555701i | ||||
\(346\) | 1.49014 | + | 0.542368i | 0.0801107 | + | 0.0291579i | ||||
\(347\) | 6.84271 | + | 11.8519i | 0.367336 | + | 0.636245i | 0.989148 | − | 0.146922i | \(-0.0469366\pi\) |
−0.621812 | + | 0.783166i | \(0.713603\pi\) | |||||||
\(348\) | −1.14364 | − | 0.959627i | −0.0613055 | − | 0.0514414i | ||||
\(349\) | 17.6230 | + | 14.7874i | 0.943336 | + | 0.791553i | 0.978163 | − | 0.207840i | \(-0.0666434\pi\) |
−0.0348265 | + | 0.999393i | \(0.511088\pi\) | |||||||
\(350\) | 4.57528 | − | 1.66527i | 0.244559 | − | 0.0890122i | ||||
\(351\) | −0.0549097 | − | 0.311408i | −0.00293086 | − | 0.0166217i | ||||
\(352\) | 0.297286 | + | 1.68599i | 0.0158454 | + | 0.0898638i | ||||
\(353\) | 30.2457 | − | 11.0085i | 1.60982 | − | 0.585926i | 0.628414 | − | 0.777879i | \(-0.283704\pi\) |
0.981404 | + | 0.191953i | \(0.0614821\pi\) | |||||||
\(354\) | −6.70778 | − | 5.62850i | −0.356514 | − | 0.299151i | ||||
\(355\) | −7.17568 | − | 6.02111i | −0.380845 | − | 0.319567i | ||||
\(356\) | 1.62464 | + | 2.81396i | 0.0861057 | + | 0.149139i | ||||
\(357\) | 71.8756 | + | 26.1606i | 3.80406 | + | 1.38456i | ||||
\(358\) | 1.70489 | − | 9.66890i | 0.0901061 | − | 0.511017i | ||||
\(359\) | 5.28107 | − | 9.14708i | 0.278724 | − | 0.482764i | −0.692344 | − | 0.721568i | \(-0.743422\pi\) |
0.971068 | + | 0.238803i | \(0.0767552\pi\) | |||||||
\(360\) | −1.51163 | − | 2.61822i | −0.0796700 | − | 0.137993i | ||||
\(361\) | 12.7627 | − | 4.64524i | 0.671721 | − | 0.244486i | ||||
\(362\) | 7.13933 | − | 12.3657i | 0.375235 | − | 0.649925i | ||||
\(363\) | −15.1702 | + | 12.7293i | −0.796230 | + | 0.668117i | ||||
\(364\) | 26.9645 | 1.41333 | ||||||||
\(365\) | 6.45664 | − | 5.41776i | 0.337956 | − | 0.283579i | ||||
\(366\) | 28.0044 | + | 10.1928i | 1.46381 | + | 0.532784i | ||||
\(367\) | −4.76920 | − | 27.0475i | −0.248950 | − | 1.41187i | −0.811136 | − | 0.584857i | \(-0.801151\pi\) |
0.562186 | − | 0.827011i | \(-0.309961\pi\) | |||||||
\(368\) | −0.741572 | + | 4.20566i | −0.0386571 | + | 0.219235i | ||||
\(369\) | −28.3694 | −1.47685 | ||||||||
\(370\) | −4.71989 | + | 3.83701i | −0.245375 | + | 0.199477i | ||||
\(371\) | 48.2219 | 2.50356 | ||||||||
\(372\) | −0.200404 | + | 1.13655i | −0.0103905 | + | 0.0589274i | ||||
\(373\) | −3.86091 | − | 21.8963i | −0.199910 | − | 1.13375i | −0.905251 | − | 0.424878i | \(-0.860317\pi\) |
0.705340 | − | 0.708869i | \(-0.250794\pi\) | |||||||
\(374\) | −10.2976 | − | 3.74804i | −0.532479 | − | 0.193806i | ||||
\(375\) | 1.88005 | − | 1.57755i | 0.0970855 | − | 0.0814644i | ||||
\(376\) | −8.89120 | −0.458528 | ||||||||
\(377\) | 2.58068 | − | 2.16545i | 0.132912 | − | 0.111526i | ||||
\(378\) | 0.139001 | − | 0.240757i | 0.00714946 | − | 0.0123832i | ||||
\(379\) | 3.73414 | − | 1.35911i | 0.191810 | − | 0.0698130i | −0.244329 | − | 0.969692i | \(-0.578568\pi\) |
0.436139 | + | 0.899879i | \(0.356346\pi\) | |||||||
\(380\) | 1.16385 | + | 2.01585i | 0.0597045 | + | 0.103411i | ||||
\(381\) | 12.8511 | − | 22.2587i | 0.658380 | − | 1.14035i | ||||
\(382\) | −0.681826 | + | 3.86683i | −0.0348853 | + | 0.197844i | ||||
\(383\) | −30.1448 | − | 10.9718i | −1.54033 | − | 0.560634i | −0.574205 | − | 0.818711i | \(-0.694689\pi\) |
−0.966124 | + | 0.258077i | \(0.916911\pi\) | |||||||
\(384\) | −1.22712 | − | 2.12543i | −0.0626211 | − | 0.108463i | ||||
\(385\) | −6.38543 | − | 5.35801i | −0.325432 | − | 0.273070i | ||||
\(386\) | 2.12766 | + | 1.78532i | 0.108295 | + | 0.0908705i | ||||
\(387\) | −13.1396 | + | 4.78241i | −0.667921 | + | 0.243103i | ||||
\(388\) | −0.846632 | − | 4.80149i | −0.0429812 | − | 0.243759i | ||||
\(389\) | −3.15468 | − | 17.8911i | −0.159949 | − | 0.907114i | −0.954121 | − | 0.299421i | \(-0.903206\pi\) |
0.794172 | − | 0.607692i | \(-0.207905\pi\) | |||||||
\(390\) | 12.7721 | − | 4.64867i | 0.646742 | − | 0.235395i | ||||
\(391\) | −20.9404 | − | 17.5711i | −1.05900 | − | 0.888607i | ||||
\(392\) | 12.7978 | + | 10.7386i | 0.646384 | + | 0.542381i | ||||
\(393\) | −15.4278 | − | 26.7217i | −0.778230 | − | 1.34793i | ||||
\(394\) | 13.3841 | + | 4.87142i | 0.674282 | + | 0.245419i | ||||
\(395\) | −1.78754 | + | 10.1377i | −0.0899411 | + | 0.510082i | ||||
\(396\) | −2.58792 | + | 4.48241i | −0.130048 | + | 0.225249i | ||||
\(397\) | −11.7286 | − | 20.3144i | −0.588639 | − | 1.01955i | −0.994411 | − | 0.105578i | \(-0.966331\pi\) |
0.405772 | − | 0.913974i | \(-0.367003\pi\) | |||||||
\(398\) | −13.7749 | + | 5.01365i | −0.690473 | + | 0.251312i | ||||
\(399\) | −13.9074 | + | 24.0883i | −0.696241 | + | 1.20593i | ||||
\(400\) | 0.766044 | − | 0.642788i | 0.0383022 | − | 0.0321394i | ||||
\(401\) | 2.75599 | 0.137628 | 0.0688138 | − | 0.997630i | \(-0.478079\pi\) | ||||
0.0688138 | + | 0.997630i | \(0.478079\pi\) | |||||||
\(402\) | 23.4113 | − | 19.6444i | 1.16765 | − | 0.979775i | ||||
\(403\) | −2.44719 | − | 0.890706i | −0.121903 | − | 0.0443692i | ||||
\(404\) | 2.77262 | + | 15.7243i | 0.137943 | + | 0.782314i | ||||
\(405\) | −1.55062 | + | 8.79400i | −0.0770509 | + | 0.436977i | ||||
\(406\) | 2.96177 | 0.146990 | ||||||||
\(407\) | 9.72913 | + | 3.71339i | 0.482255 | + | 0.184066i | ||||
\(408\) | 15.7095 | 0.777739 | ||||||||
\(409\) | 5.16857 | − | 29.3124i | 0.255569 | − | 1.44941i | −0.539038 | − | 0.842282i | \(-0.681212\pi\) |
0.794607 | − | 0.607124i | \(-0.207677\pi\) | |||||||
\(410\) | −1.62946 | − | 9.24112i | −0.0804732 | − | 0.456386i | ||||
\(411\) | 1.51315 | + | 0.550740i | 0.0746380 | + | 0.0271660i | ||||
\(412\) | 5.95370 | − | 4.99575i | 0.293318 | − | 0.246123i | ||||
\(413\) | 17.3716 | 0.854802 | ||||||||
\(414\) | −9.89038 | + | 8.29902i | −0.486086 | + | 0.407874i | ||||
\(415\) | −0.0625096 | + | 0.108270i | −0.00306848 | + | 0.00531476i | ||||
\(416\) | 5.20412 | − | 1.89414i | 0.255153 | − | 0.0928680i | ||||
\(417\) | 20.4100 | + | 35.3511i | 0.999481 | + | 1.73115i | ||||
\(418\) | 1.99252 | − | 3.45115i | 0.0974574 | − | 0.168801i | ||||
\(419\) | 3.74592 | − | 21.2441i | 0.183000 | − | 1.03784i | −0.745498 | − | 0.666508i | \(-0.767788\pi\) |
0.928498 | − | 0.371337i | \(-0.121101\pi\) | |||||||
\(420\) | 11.2288 | + | 4.08695i | 0.547910 | + | 0.199423i | ||||
\(421\) | 9.95781 | + | 17.2474i | 0.485314 | + | 0.840589i | 0.999858 | − | 0.0168756i | \(-0.00537193\pi\) |
−0.514543 | + | 0.857464i | \(0.672039\pi\) | |||||||
\(422\) | 1.56550 | + | 1.31361i | 0.0762074 | + | 0.0639456i | ||||
\(423\) | −20.5916 | − | 17.2784i | −1.00120 | − | 0.840105i | ||||
\(424\) | 9.30675 | − | 3.38738i | 0.451976 | − | 0.164506i | ||||
\(425\) | 1.11152 | + | 6.30375i | 0.0539167 | + | 0.305777i | ||||
\(426\) | −3.99204 | − | 22.6400i | −0.193415 | − | 1.09691i | ||||
\(427\) | −55.5573 | + | 20.2212i | −2.68861 | + | 0.978573i | ||||
\(428\) | −8.13081 | − | 6.82256i | −0.393018 | − | 0.329781i | ||||
\(429\) | −17.8253 | − | 14.9572i | −0.860611 | − | 0.722139i | ||||
\(430\) | −2.31254 | − | 4.00543i | −0.111520 | − | 0.193159i | ||||
\(431\) | 6.14543 | + | 2.23675i | 0.296015 | + | 0.107741i | 0.485759 | − | 0.874093i | \(-0.338543\pi\) |
−0.189744 | + | 0.981834i | \(0.560766\pi\) | |||||||
\(432\) | 0.00991488 | − | 0.0562301i | 0.000477030 | − | 0.00270537i | ||||
\(433\) | 11.9591 | − | 20.7138i | 0.574719 | − | 0.995443i | −0.421353 | − | 0.906897i | \(-0.638445\pi\) |
0.996072 | − | 0.0885459i | \(-0.0282220\pi\) | |||||||
\(434\) | −1.14478 | − | 1.98282i | −0.0549513 | − | 0.0951785i | ||||
\(435\) | 1.40288 | − | 0.510607i | 0.0672630 | − | 0.0244817i | ||||
\(436\) | −0.374351 | + | 0.648396i | −0.0179282 | + | 0.0310525i | ||||
\(437\) | 7.61492 | − | 6.38968i | 0.364271 | − | 0.305660i | ||||
\(438\) | 20.6856 | 0.988397 | ||||||||
\(439\) | −4.13292 | + | 3.46793i | −0.197253 | + | 0.165515i | −0.736065 | − | 0.676911i | \(-0.763318\pi\) |
0.538811 | + | 0.842427i | \(0.318874\pi\) | |||||||
\(440\) | −1.60876 | − | 0.585540i | −0.0766945 | − | 0.0279145i | ||||
\(441\) | 8.77054 | + | 49.7402i | 0.417645 | + | 2.36858i | ||||
\(442\) | −6.15573 | + | 34.9109i | −0.292798 | + | 1.66054i | ||||
\(443\) | −34.5180 | −1.64000 | −0.820000 | − | 0.572364i | \(-0.806027\pi\) | ||||
−0.820000 | + | 0.572364i | \(0.806027\pi\) | |||||||
\(444\) | −14.9267 | − | 0.232075i | −0.708391 | − | 0.0110138i | ||||
\(445\) | −3.24928 | −0.154031 | ||||||||
\(446\) | −1.54590 | + | 8.76724i | −0.0732005 | + | 0.415141i | ||||
\(447\) | −2.54134 | − | 14.4127i | −0.120201 | − | 0.681696i | ||||
\(448\) | 4.57528 | + | 1.66527i | 0.216162 | + | 0.0786764i | ||||
\(449\) | 16.3262 | − | 13.6993i | 0.770479 | − | 0.646509i | −0.170352 | − | 0.985383i | \(-0.554491\pi\) |
0.940832 | + | 0.338874i | \(0.110046\pi\) | |||||||
\(450\) | 3.02326 | 0.142518 | ||||||||
\(451\) | −12.3064 | + | 10.3263i | −0.579487 | + | 0.486247i | ||||
\(452\) | 1.34154 | − | 2.32362i | 0.0631009 | − | 0.109294i | ||||
\(453\) | −39.1874 | + | 14.2630i | −1.84118 | + | 0.670136i | ||||
\(454\) | −0.882053 | − | 1.52776i | −0.0413968 | − | 0.0717014i | ||||
\(455\) | −13.4823 | + | 23.3520i | −0.632059 | + | 1.09476i | ||||
\(456\) | −0.992007 | + | 5.62595i | −0.0464550 | + | 0.263459i | ||||
\(457\) | 26.8685 | + | 9.77935i | 1.25686 | + | 0.457459i | 0.882713 | − | 0.469912i | \(-0.155714\pi\) |
0.374144 | + | 0.927371i | \(0.377936\pi\) | |||||||
\(458\) | 10.8744 | + | 18.8351i | 0.508129 | + | 0.880105i | ||||
\(459\) | 0.279975 | + | 0.234927i | 0.0130681 | + | 0.0109654i | ||||
\(460\) | −3.27142 | − | 2.74505i | −0.152531 | − | 0.127989i | ||||
\(461\) | 24.8260 | − | 9.03594i | 1.15626 | − | 0.420846i | 0.308503 | − | 0.951223i | \(-0.400172\pi\) |
0.847761 | + | 0.530378i | \(0.177950\pi\) | |||||||
\(462\) | −3.55241 | − | 20.1467i | −0.165273 | − | 0.937309i | ||||
\(463\) | −3.94672 | − | 22.3830i | −0.183420 | − | 1.04022i | −0.927969 | − | 0.372657i | \(-0.878447\pi\) |
0.744549 | − | 0.667567i | \(-0.232664\pi\) | |||||||
\(464\) | 0.571617 | − | 0.208051i | 0.0265366 | − | 0.00965854i | ||||
\(465\) | −0.884079 | − | 0.741831i | −0.0409982 | − | 0.0344016i | ||||
\(466\) | −9.35044 | − | 7.84595i | −0.433151 | − | 0.363457i | ||||
\(467\) | −16.1053 | − | 27.8952i | −0.745265 | − | 1.29084i | −0.950071 | − | 0.312034i | \(-0.898990\pi\) |
0.204806 | − | 0.978803i | \(-0.434344\pi\) | |||||||
\(468\) | 15.7334 | + | 5.72650i | 0.727278 | + | 0.264707i | ||||
\(469\) | −10.5283 | + | 59.7089i | −0.486151 | + | 2.75710i | ||||
\(470\) | 4.44560 | − | 7.70000i | 0.205060 | − | 0.355175i | ||||
\(471\) | 6.60557 | + | 11.4412i | 0.304368 | + | 0.527182i | ||||
\(472\) | 3.35270 | − | 1.22028i | 0.154321 | − | 0.0561681i | ||||
\(473\) | −3.95907 | + | 6.85731i | −0.182038 | + | 0.315299i | ||||
\(474\) | −19.3534 | + | 16.2394i | −0.888930 | + | 0.745901i | ||||
\(475\) | −2.32771 | −0.106803 | ||||||||
\(476\) | −23.8745 | + | 20.0330i | −1.09428 | + | 0.918213i | ||||
\(477\) | 28.1368 | + | 10.2410i | 1.28829 | + | 0.468901i | ||||
\(478\) | 1.39210 | + | 7.89500i | 0.0636732 | + | 0.361109i | ||||
\(479\) | 3.21904 | − | 18.2561i | 0.147081 | − | 0.834140i | −0.818591 | − | 0.574377i | \(-0.805244\pi\) |
0.965672 | − | 0.259763i | \(-0.0836446\pi\) | |||||||
\(480\) | 2.45423 | 0.112020 | ||||||||
\(481\) | 6.36471 | − | 33.0803i | 0.290206 | − | 1.50833i | ||||
\(482\) | −13.9920 | −0.637320 | ||||||||
\(483\) | 8.86137 | − | 50.2553i | 0.403206 | − | 2.28670i | ||||
\(484\) | −1.40117 | − | 7.94646i | −0.0636898 | − | 0.361203i | ||||
\(485\) | 4.58153 | + | 1.66754i | 0.208036 | + | 0.0757191i | ||||
\(486\) | −16.9195 | + | 14.1971i | −0.767482 | + | 0.643994i | ||||
\(487\) | −2.60642 | −0.118108 | −0.0590540 | − | 0.998255i | \(-0.518808\pi\) | ||||
−0.0590540 | + | 0.998255i | \(0.518808\pi\) | |||||||
\(488\) | −9.30203 | + | 7.80533i | −0.421083 | + | 0.353331i | ||||
\(489\) | −13.5128 | + | 23.4049i | −0.611070 | + | 1.05840i | ||||
\(490\) | −15.6988 | + | 5.71389i | −0.709198 | + | 0.258127i | ||||
\(491\) | −1.41689 | − | 2.45413i | −0.0639434 | − | 0.110753i | 0.832281 | − | 0.554353i | \(-0.187034\pi\) |
−0.896225 | + | 0.443600i | \(0.853701\pi\) | |||||||
\(492\) | 11.5149 | − | 19.9443i | 0.519131 | − | 0.899161i | ||||
\(493\) | −0.676140 | + | 3.83458i | −0.0304518 | + | 0.172701i | ||||
\(494\) | −12.1137 | − | 4.40901i | −0.545020 | − | 0.198371i | ||||
\(495\) | −2.58792 | − | 4.48241i | −0.116318 | − | 0.201469i | ||||
\(496\) | −0.360226 | − | 0.302266i | −0.0161746 | − | 0.0135721i | ||||
\(497\) | 34.9377 | + | 29.3162i | 1.56717 | + | 1.31501i | ||||
\(498\) | −0.288323 | + | 0.104941i | −0.0129200 | + | 0.00470251i | ||||
\(499\) | −2.13993 | − | 12.1362i | −0.0957965 | − | 0.543289i | −0.994500 | − | 0.104733i | \(-0.966601\pi\) |
0.898704 | − | 0.438556i | \(-0.144510\pi\) | |||||||
\(500\) | 0.173648 | + | 0.984808i | 0.00776578 | + | 0.0440419i | ||||
\(501\) | −5.00837 | + | 1.82290i | −0.223757 | + | 0.0814410i | ||||
\(502\) | −11.3786 | − | 9.54779i | −0.507853 | − | 0.426139i | ||||
\(503\) | −6.40303 | − | 5.37278i | −0.285497 | − | 0.239560i | 0.488780 | − | 0.872407i | \(-0.337442\pi\) |
−0.774277 | + | 0.632847i | \(0.781886\pi\) | |||||||
\(504\) | 7.36000 | + | 12.7479i | 0.327841 | + | 0.567836i | ||||
\(505\) | −15.0040 | − | 5.46100i | −0.667668 | − | 0.243011i | ||||
\(506\) | −1.26957 | + | 7.20011i | −0.0564394 | + | 0.320084i | ||||
\(507\) | −21.6839 | + | 37.5576i | −0.963016 | + | 1.66799i | ||||
\(508\) | 5.23628 | + | 9.06951i | 0.232323 | + | 0.402394i | ||||
\(509\) | −7.12216 | + | 2.59226i | −0.315684 | + | 0.114900i | −0.495003 | − | 0.868891i | \(-0.664833\pi\) |
0.179318 | + | 0.983791i | \(0.442611\pi\) | |||||||
\(510\) | −7.85477 | + | 13.6049i | −0.347815 | + | 0.602434i | ||||
\(511\) | −31.4368 | + | 26.3786i | −1.39068 | + | 1.16692i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −0.101812 | + | 0.0854306i | −0.00449512 | + | 0.00377185i | ||||
\(514\) | 5.11976 | + | 1.86344i | 0.225823 | + | 0.0821928i | ||||
\(515\) | 1.34959 | + | 7.65393i | 0.0594702 | + | 0.337273i | ||||
\(516\) | 1.97108 | − | 11.1786i | 0.0867721 | − | 0.492109i | ||||
\(517\) | −15.2218 | −0.669452 | ||||||||
\(518\) | 22.9807 | − | 18.6821i | 1.00971 | − | 0.820843i | ||||
\(519\) | −3.89187 | −0.170834 | ||||||||
\(520\) | −0.961682 | + | 5.45397i | −0.0421725 | + | 0.239172i | ||||
\(521\) | −6.79269 | − | 38.5233i | −0.297593 | − | 1.68773i | −0.656472 | − | 0.754350i | \(-0.727952\pi\) |
0.358879 | − | 0.933384i | \(-0.383159\pi\) | |||||||
\(522\) | 1.72815 | + | 0.628995i | 0.0756390 | + | 0.0275303i | ||||
\(523\) | 4.35428 | − | 3.65367i | 0.190399 | − | 0.159764i | −0.542605 | − | 0.839988i | \(-0.682562\pi\) |
0.733004 | + | 0.680224i | \(0.238117\pi\) | |||||||
\(524\) | 12.5724 | 0.549228 | ||||||||
\(525\) | −9.15381 | + | 7.68095i | −0.399505 | + | 0.335224i | ||||
\(526\) | −13.8654 | + | 24.0156i | −0.604561 | + | 1.04713i | ||||
\(527\) | 2.82849 | − | 1.02949i | 0.123211 | − | 0.0448451i | ||||
\(528\) | −2.10083 | − | 3.63874i | −0.0914268 | − | 0.158356i | ||||
\(529\) | 2.38124 | − | 4.12443i | 0.103532 | − | 0.179323i | ||||
\(530\) | −1.71982 | + | 9.75358i | −0.0747041 | + | 0.423668i | ||||
\(531\) | 10.1361 | + | 3.68924i | 0.439869 | + | 0.160099i | ||||
\(532\) | −5.66670 | − | 9.81501i | −0.245683 | − | 0.425535i | ||||
\(533\) | 39.8097 | + | 33.4043i | 1.72435 | + | 1.44690i | ||||
\(534\) | −6.10881 | − | 5.12590i | −0.264354 | − | 0.221819i | ||||
\(535\) | 9.97392 | − | 3.63021i | 0.431210 | − | 0.156948i | ||||
\(536\) | 2.16235 | + | 12.2633i | 0.0933993 | + | 0.529694i | ||||
\(537\) | 4.18419 | + | 23.7297i | 0.180561 | + | 1.02401i | ||||
\(538\) | 17.0901 | − | 6.22029i | 0.736807 | − | 0.268176i | ||||
\(539\) | 21.9098 | + | 18.3845i | 0.943722 | + | 0.791877i | ||||
\(540\) | 0.0437392 | + | 0.0367016i | 0.00188224 | + | 0.00157938i | ||||
\(541\) | −3.18621 | − | 5.51867i | −0.136986 | − | 0.237266i | 0.789369 | − | 0.613920i | \(-0.210408\pi\) |
−0.926354 | + | 0.376653i | \(0.877075\pi\) | |||||||
\(542\) | −22.1763 | − | 8.07150i | −0.952552 | − | 0.346701i | ||||
\(543\) | −6.08518 | + | 34.5108i | −0.261140 | + | 1.48100i | ||||
\(544\) | −3.20050 | + | 5.54343i | −0.137220 | + | 0.237672i | ||||
\(545\) | −0.374351 | − | 0.648396i | −0.0160355 | − | 0.0277742i | ||||
\(546\) | −62.1863 | + | 22.6340i | −2.66133 | + | 0.968644i | ||||
\(547\) | −12.3782 | + | 21.4396i | −0.529252 | + | 0.916692i | 0.470166 | + | 0.882578i | \(0.344194\pi\) |
−0.999418 | + | 0.0341135i | \(0.989139\pi\) | |||||||
\(548\) | −0.502612 | + | 0.421742i | −0.0214705 | + | 0.0180159i | ||||
\(549\) | −36.7113 | −1.56680 | ||||||||
\(550\) | 1.31147 | − | 1.10045i | 0.0559213 | − | 0.0469235i | ||||
\(551\) | −1.33056 | − | 0.484283i | −0.0566836 | − | 0.0206311i | ||||
\(552\) | −1.81999 | − | 10.3217i | −0.0774639 | − | 0.439320i | ||||
\(553\) | 8.70339 | − | 49.3594i | 0.370106 | − | 2.09898i | ||||
\(554\) | 25.0143 | 1.06276 | ||||||||
\(555\) | 7.66434 | − | 12.8109i | 0.325333 | − | 0.543792i | ||||
\(556\) | −16.6325 | −0.705374 | ||||||||
\(557\) | 3.79975 | − | 21.5495i | 0.161001 | − | 0.913080i | −0.792092 | − | 0.610401i | \(-0.791008\pi\) |
0.953093 | − | 0.302678i | \(-0.0978808\pi\) | |||||||
\(558\) | −0.246870 | − | 1.40007i | −0.0104508 | − | 0.0592696i | ||||
\(559\) | 24.0694 | + | 8.76055i | 1.01803 | + | 0.370532i | ||||
\(560\) | −3.72980 | + | 3.12967i | −0.157613 | + | 0.132253i | ||||
\(561\) | 26.8948 | 1.13550 | ||||||||
\(562\) | 14.4106 | − | 12.0919i | 0.607873 | − | 0.510066i | ||||
\(563\) | −8.97719 | + | 15.5490i | −0.378344 | + | 0.655310i | −0.990821 | − | 0.135177i | \(-0.956840\pi\) |
0.612478 | + | 0.790488i | \(0.290173\pi\) | |||||||
\(564\) | 20.5051 | − | 7.46325i | 0.863421 | − | 0.314259i | ||||
\(565\) | 1.34154 | + | 2.32362i | 0.0564392 | + | 0.0977555i | ||||
\(566\) | 6.42071 | − | 11.1210i | 0.269882 | − | 0.467450i | ||||
\(567\) | 7.54983 | − | 42.8172i | 0.317063 | − | 1.79815i | ||||
\(568\) | 8.80227 | + | 3.20376i | 0.369335 | + | 0.134427i | ||||
\(569\) | 9.81245 | + | 16.9957i | 0.411359 | + | 0.712495i | 0.995039 | − | 0.0994889i | \(-0.0317208\pi\) |
−0.583679 | + | 0.811984i | \(0.698387\pi\) | |||||||
\(570\) | −4.37621 | − | 3.67208i | −0.183299 | − | 0.153806i | ||||
\(571\) | −20.5006 | − | 17.2020i | −0.857923 | − | 0.719883i | 0.103596 | − | 0.994619i | \(-0.466965\pi\) |
−0.961520 | + | 0.274736i | \(0.911409\pi\) | |||||||
\(572\) | 8.90947 | − | 3.24278i | 0.372523 | − | 0.135587i | ||||
\(573\) | −1.67336 | − | 9.49010i | −0.0699057 | − | 0.396455i | ||||
\(574\) | 7.93369 | + | 44.9942i | 0.331146 | + | 1.87802i | ||||
\(575\) | 4.01300 | − | 1.46061i | 0.167353 | − | 0.0609117i | ||||
\(576\) | 2.31596 | + | 1.94332i | 0.0964981 | + | 0.0809716i | ||||
\(577\) | 16.3428 | + | 13.7132i | 0.680360 | + | 0.570890i | 0.916111 | − | 0.400924i | \(-0.131311\pi\) |
−0.235752 | + | 0.971813i | \(0.575755\pi\) | |||||||
\(578\) | −11.9864 | − | 20.7610i | −0.498568 | − | 0.863545i | ||||
\(579\) | −6.40547 | − | 2.33140i | −0.266202 | − | 0.0968896i | ||||
\(580\) | −0.105630 | + | 0.599060i | −0.00438607 | + | 0.0248746i | ||||
\(581\) | 0.304354 | − | 0.527156i | 0.0126267 | − | 0.0218701i | ||||
\(582\) | 5.98288 | + | 10.3627i | 0.247998 | + | 0.429546i | ||||
\(583\) | 15.9332 | − | 5.79921i | 0.659885 | − | 0.240179i | ||||
\(584\) | −4.21427 | + | 7.29933i | −0.174388 | + | 0.302048i | ||||
\(585\) | −12.8260 | + | 10.7623i | −0.530290 | + | 0.444966i | ||||
\(586\) | 23.3822 | 0.965909 | ||||||||
\(587\) | −3.22288 | + | 2.70432i | −0.133023 | + | 0.111619i | −0.706872 | − | 0.707342i | \(-0.749894\pi\) |
0.573849 | + | 0.818961i | \(0.305450\pi\) | |||||||
\(588\) | −38.5285 | − | 14.0232i | −1.58889 | − | 0.578308i | ||||
\(589\) | 0.190073 | + | 1.07796i | 0.00783181 | + | 0.0444164i | ||||
\(590\) | −0.619554 | + | 3.51366i | −0.0255066 | + | 0.144655i | ||||
\(591\) | −34.9559 | −1.43789 | ||||||||
\(592\) | 3.12291 | − | 5.21991i | 0.128351 | − | 0.214537i | ||||
\(593\) | −15.4461 | −0.634296 | −0.317148 | − | 0.948376i | \(-0.602725\pi\) | ||||
−0.317148 | + | 0.948376i | \(0.602725\pi\) | |||||||
\(594\) | 0.0169743 | − | 0.0962661i | 0.000696464 | − | 0.00394984i | ||||
\(595\) | −5.41190 | − | 30.6924i | −0.221866 | − | 1.25827i | ||||
\(596\) | 5.60354 | + | 2.03952i | 0.229530 | + | 0.0835421i | ||||
\(597\) | 27.5596 | − | 23.1252i | 1.12794 | − | 0.946452i | ||||
\(598\) | 23.6507 | 0.967149 | ||||||||
\(599\) | 23.0311 | − | 19.3254i | 0.941025 | − | 0.789614i | −0.0367383 | − | 0.999325i | \(-0.511697\pi\) |
0.977763 | + | 0.209711i | \(0.0672524\pi\) | |||||||
\(600\) | −1.22712 | + | 2.12543i | −0.0500968 | + | 0.0867703i | ||||
\(601\) | 38.2009 | − | 13.9040i | 1.55825 | − | 0.567156i | 0.587914 | − | 0.808923i | \(-0.299949\pi\) |
0.970334 | + | 0.241767i | \(0.0777270\pi\) | |||||||
\(602\) | 11.2595 | + | 19.5021i | 0.458904 | + | 0.794846i | ||||
\(603\) | −18.8236 | + | 32.6034i | −0.766555 | + | 1.32771i | ||||
\(604\) | 2.95063 | − | 16.7338i | 0.120059 | − | 0.680891i | ||||
\(605\) | 7.58242 | + | 2.75978i | 0.308269 | + | 0.112201i | ||||
\(606\) | −19.5932 | − | 33.9365i | −0.795921 | − | 1.37858i | ||||
\(607\) | 25.2342 | + | 21.1740i | 1.02423 | + | 0.859427i | 0.990153 | − | 0.139992i | \(-0.0447078\pi\) |
0.0340727 | + | 0.999419i | \(0.489152\pi\) | |||||||
\(608\) | −1.78313 | − | 1.49622i | −0.0723154 | − | 0.0606798i | ||||
\(609\) | −6.83050 | + | 2.48610i | −0.276786 | + | 0.100742i | ||||
\(610\) | −2.10860 | − | 11.9585i | −0.0853747 | − | 0.484184i | ||||
\(611\) | 8.55050 | + | 48.4923i | 0.345916 | + | 1.96179i | ||||
\(612\) | −18.1849 | + | 6.61874i | −0.735079 | + | 0.267547i | ||||
\(613\) | 28.2025 | + | 23.6647i | 1.13909 | + | 0.955810i | 0.999409 | − | 0.0343868i | \(-0.0109478\pi\) |
0.139681 | + | 0.990197i | \(0.455392\pi\) | |||||||
\(614\) | −6.56974 | − | 5.51267i | −0.265133 | − | 0.222473i | ||||
\(615\) | 11.5149 | + | 19.9443i | 0.464325 | + | 0.804234i | ||||
\(616\) | 7.83289 | + | 2.85094i | 0.315596 | + | 0.114868i | ||||
\(617\) | −1.57811 | + | 8.94989i | −0.0635322 | + | 0.360309i | 0.936423 | + | 0.350872i | \(0.114115\pi\) |
−0.999955 | + | 0.00943657i | \(0.996996\pi\) | |||||||
\(618\) | −9.53716 | + | 16.5188i | −0.383641 | + | 0.664485i | ||||
\(619\) | 13.4547 | + | 23.3042i | 0.540788 | + | 0.936673i | 0.998859 | + | 0.0477571i | \(0.0152073\pi\) |
−0.458071 | + | 0.888916i | \(0.651459\pi\) | |||||||
\(620\) | 0.441883 | − | 0.160832i | 0.0177464 | − | 0.00645918i | ||||
\(621\) | 0.121919 | − | 0.211169i | 0.00489243 | − | 0.00847393i | ||||
\(622\) | 2.24764 | − | 1.88600i | 0.0901222 | − | 0.0756215i | ||||
\(623\) | 15.8204 | 0.633833 | ||||||||
\(624\) | −10.4119 | + | 8.73665i | −0.416811 | + | 0.349746i | ||||
\(625\) | −0.939693 | − | 0.342020i | −0.0375877 | − | 0.0136808i | ||||
\(626\) | 5.00751 | + | 28.3990i | 0.200140 | + | 1.13505i | ||||
\(627\) | −1.69832 | + | 9.63165i | −0.0678243 | + | 0.384651i | ||||
\(628\) | −5.38300 | −0.214805 | ||||||||
\(629\) | 18.9413 | + | 34.0179i | 0.755240 | + | 1.35638i | ||||
\(630\) | −14.7200 | −0.586459 | ||||||||
\(631\) | −6.99360 | + | 39.6627i | −0.278411 | + | 1.57895i | 0.449503 | + | 0.893279i | \(0.351601\pi\) |
−0.727914 | + | 0.685668i | \(0.759510\pi\) | |||||||
\(632\) | −1.78754 | − | 10.1377i | −0.0711047 | − | 0.403255i | ||||
\(633\) | −4.71304 | − | 1.71541i | −0.187327 | − | 0.0681813i | ||||
\(634\) | −24.1310 | + | 20.2483i | −0.958366 | + | 0.804165i | ||||
\(635\) | −10.4726 | −0.415591 | ||||||||
\(636\) | −18.6201 | + | 15.6241i | −0.738336 | + | 0.619537i | ||||
\(637\) | 46.2606 | − | 80.1257i | 1.83291 | − | 3.17469i | ||||
\(638\) | 0.978609 | − | 0.356185i | 0.0387435 | − | 0.0141015i | ||||
\(639\) | 14.1597 | + | 24.5254i | 0.560150 | + | 0.970209i | ||||
\(640\) | −0.500000 | + | 0.866025i | −0.0197642 | + | 0.0342327i | ||||
\(641\) | −4.90047 | + | 27.7920i | −0.193557 | + | 1.09772i | 0.720902 | + | 0.693037i | \(0.243728\pi\) |
−0.914459 | + | 0.404679i | \(0.867383\pi\) | |||||||
\(642\) | 24.4783 | + | 8.90938i | 0.966083 | + | 0.351625i | ||||
\(643\) | −5.88466 | − | 10.1925i | −0.232068 | − | 0.401954i | 0.726348 | − | 0.687327i | \(-0.241216\pi\) |
−0.958417 | + | 0.285373i | \(0.907883\pi\) | |||||||
\(644\) | 15.9283 | + | 13.3654i | 0.627662 | + | 0.526671i | ||||
\(645\) | 8.69538 | + | 7.29629i | 0.342380 | + | 0.287291i | ||||
\(646\) | 14.0011 | − | 5.09598i | 0.550866 | − | 0.200499i | ||||
\(647\) | 5.83163 | + | 33.0728i | 0.229265 | + | 1.30023i | 0.854361 | + | 0.519680i | \(0.173949\pi\) |
−0.625096 | + | 0.780548i | \(0.714940\pi\) | |||||||
\(648\) | −1.55062 | − | 8.79400i | −0.0609141 | − | 0.345461i | ||||
\(649\) | 5.73983 | − | 2.08913i | 0.225308 | − | 0.0820055i | ||||
\(650\) | −4.24244 | − | 3.55983i | −0.166402 | − | 0.139628i | ||||
\(651\) | 4.30450 | + | 3.61191i | 0.168707 | + | 0.141562i | ||||
\(652\) | −5.50591 | − | 9.53652i | −0.215628 | − | 0.373479i | ||||
\(653\) | −19.7186 | − | 7.17698i | −0.771649 | − | 0.280857i | −0.0739628 | − | 0.997261i | \(-0.523565\pi\) |
−0.697686 | + | 0.716404i | \(0.745787\pi\) | |||||||
\(654\) | 0.319077 | − | 1.80958i | 0.0124769 | − | 0.0707600i | ||||
\(655\) | −6.28620 | + | 10.8880i | −0.245622 | + | 0.425430i | ||||
\(656\) | 4.69184 | + | 8.12651i | 0.183186 | + | 0.317287i | ||||
\(657\) | −23.9450 | + | 8.71526i | −0.934183 | + | 0.340015i | ||||
\(658\) | −21.6452 | + | 37.4906i | −0.843818 | + | 1.46154i | ||||
\(659\) | 4.59653 | − | 3.85694i | 0.179055 | − | 0.150245i | −0.548855 | − | 0.835918i | \(-0.684936\pi\) |
0.727910 | + | 0.685672i | \(0.240492\pi\) | |||||||
\(660\) | 4.20166 | 0.163549 | ||||||||
\(661\) | 9.50817 | − | 7.97830i | 0.369825 | − | 0.310320i | −0.438867 | − | 0.898552i | \(-0.644620\pi\) |
0.808692 | + | 0.588232i | \(0.200176\pi\) | |||||||
\(662\) | −7.67985 | − | 2.79524i | −0.298486 | − | 0.108640i | ||||
\(663\) | −15.1076 | − | 85.6794i | −0.586730 | − | 3.32751i | ||||
\(664\) | 0.0217094 | − | 0.123120i | 0.000842487 | − | 0.00477798i | ||||
\(665\) | 11.3334 | 0.439490 | ||||||||
\(666\) | 17.3765 | − | 6.02028i | 0.673324 | − | 0.233281i | ||||
\(667\) | 2.59778 | 0.100586 | ||||||||
\(668\) | 0.377107 | − | 2.13868i | 0.0145907 | − | 0.0827480i | ||||
\(669\) | −3.79400 | − | 21.5169i | −0.146685 | − | 0.831890i | ||||
\(670\) | −11.7015 | − | 4.25900i | −0.452068 | − | 0.164539i | ||||
\(671\) | −15.9251 | + | 13.3627i | −0.614782 | + | 0.515863i | ||||
\(672\) | −11.9494 | −0.460960 | ||||||||
\(673\) | −8.45723 | + | 7.09646i | −0.326002 | + | 0.273548i | −0.791069 | − | 0.611727i | \(-0.790475\pi\) |
0.465066 | + | 0.885276i | \(0.346030\pi\) | |||||||
\(674\) | −10.0511 | + | 17.4089i | −0.387152 | + | 0.670567i | ||||
\(675\) | −0.0536541 | + | 0.0195285i | −0.00206515 | + | 0.000751652i | ||||
\(676\) | −8.83531 | − | 15.3032i | −0.339820 | − | 0.588585i | ||||
\(677\) | −1.27088 | + | 2.20123i | −0.0488439 | + | 0.0846001i | −0.889414 | − | 0.457103i | \(-0.848887\pi\) |
0.840570 | + | 0.541703i | \(0.182220\pi\) | |||||||
\(678\) | −1.14346 | + | 6.48488i | −0.0439143 | + | 0.249050i | ||||
\(679\) | −22.3070 | − | 8.11910i | −0.856066 | − | 0.311582i | ||||
\(680\) | −3.20050 | − | 5.54343i | −0.122734 | − | 0.212581i | ||||
\(681\) | 3.31661 | + | 2.78297i | 0.127093 | + | 0.106644i | ||||
\(682\) | −0.616708 | − | 0.517480i | −0.0236150 | − | 0.0198153i | ||||
\(683\) | −23.6446 | + | 8.60592i | −0.904735 | + | 0.329296i | −0.752148 | − | 0.658994i | \(-0.770982\pi\) |
−0.152586 | + | 0.988290i | \(0.548760\pi\) | |||||||
\(684\) | −1.22201 | − | 6.93037i | −0.0467247 | − | 0.264989i | ||||
\(685\) | −0.113933 | − | 0.646146i | −0.00435315 | − | 0.0246880i | ||||
\(686\) | 44.4089 | − | 16.1635i | 1.69554 | − | 0.617127i | ||||
\(687\) | −40.8890 | − | 34.3099i | −1.56001 | − | 1.30901i | ||||
\(688\) | 3.54301 | + | 2.97294i | 0.135076 | + | 0.113342i | ||||
\(689\) | −27.4248 | − | 47.5012i | −1.04480 | − | 1.80965i | ||||
\(690\) | 9.84883 | + | 3.58468i | 0.374939 | + | 0.136466i | ||||
\(691\) | 3.10384 | − | 17.6028i | 0.118076 | − | 0.669641i | −0.867105 | − | 0.498125i | \(-0.834022\pi\) |
0.985181 | − | 0.171517i | \(-0.0548667\pi\) | |||||||
\(692\) | 0.792889 | − | 1.37332i | 0.0301411 | − | 0.0522060i | ||||
\(693\) | 12.6003 | + | 21.8244i | 0.478648 | + | 0.829042i | ||||
\(694\) | 12.8601 | − | 4.68069i | 0.488162 | − | 0.177677i | ||||
\(695\) | 8.31624 | − | 14.4041i | 0.315453 | − | 0.546380i | ||||
\(696\) | −1.14364 | + | 0.959627i | −0.0433495 | + | 0.0363746i | ||||
\(697\) | −60.0649 | −2.27512 | ||||||||
\(698\) | 17.6230 | − | 14.7874i | 0.667039 | − | 0.559713i | ||||
\(699\) | 28.1501 | + | 10.2458i | 1.06473 | + | 0.387532i | ||||
\(700\) | −0.845477 | − | 4.79494i | −0.0319560 | − | 0.181232i | ||||
\(701\) | 1.00127 | − | 5.67851i | 0.0378176 | − | 0.214474i | −0.960043 | − | 0.279853i | \(-0.909714\pi\) |
0.997861 | + | 0.0653784i | \(0.0208255\pi\) | |||||||
\(702\) | −0.316212 | −0.0119347 | ||||||||
\(703\) | −13.3787 | + | 4.63521i | −0.504587 | + | 0.174820i | ||||
\(704\) | 1.71200 | 0.0645235 | ||||||||
\(705\) | −3.78919 | + | 21.4896i | −0.142709 | + | 0.809344i | ||||
\(706\) | −5.58919 | − | 31.6979i | −0.210352 | − | 1.19296i | ||||
\(707\) | 73.0530 | + | 26.5891i | 2.74744 | + | 0.999987i | ||||
\(708\) | −6.70778 | + | 5.62850i | −0.252094 | + | 0.211532i | ||||
\(709\) | 12.4032 | 0.465812 | 0.232906 | − | 0.972499i | \(-0.425177\pi\) | ||||
0.232906 | + | 0.972499i | \(0.425177\pi\) | |||||||
\(710\) | −7.17568 | + | 6.02111i | −0.269298 | + | 0.225968i | ||||
\(711\) | 15.5608 | − | 26.9522i | 0.583577 | − | 1.01078i | ||||
\(712\) | 3.05332 | − | 1.11132i | 0.114428 | − | 0.0416484i | ||||
\(713\) | −1.00409 | − | 1.73914i | −0.0376036 | − | 0.0651313i | ||||
\(714\) | 38.2442 | − | 66.2409i | 1.43125 | − | 2.47900i | ||||
\(715\) | −1.64640 | + | 9.33721i | −0.0615720 | + | 0.349192i | ||||
\(716\) | −9.22596 | − | 3.35797i | −0.344790 | − | 0.125493i | ||||
\(717\) | −9.83754 | − | 17.0391i | −0.367390 | − | 0.636337i | ||||
\(718\) | −8.09107 | − | 6.78921i | −0.301956 | − | 0.253371i | ||||
\(719\) | −5.01153 | − | 4.20518i | −0.186899 | − | 0.156827i | 0.544538 | − | 0.838736i | \(-0.316705\pi\) |
−0.731436 | + | 0.681910i | \(0.761150\pi\) | |||||||
\(720\) | −2.84094 | + | 1.03402i | −0.105876 | + | 0.0385356i | ||||
\(721\) | −6.57105 | − | 37.2663i | −0.244719 | − | 1.38787i | ||||
\(722\) | −2.35845 | − | 13.3754i | −0.0877724 | − | 0.497782i | ||||
\(723\) | 32.2688 | − | 11.7449i | 1.20009 | − | 0.436797i | ||||
\(724\) | −10.9381 | − | 9.17814i | −0.406511 | − | 0.341103i | ||||
\(725\) | −0.465986 | − | 0.391009i | −0.0173063 | − | 0.0145217i | ||||
\(726\) | 9.90166 | + | 17.1502i | 0.367485 | + | 0.636503i | ||||
\(727\) | −18.1029 | − | 6.58892i | −0.671399 | − | 0.244369i | −0.0162491 | − | 0.999868i | \(-0.505172\pi\) |
−0.655150 | + | 0.755499i | \(0.727395\pi\) | |||||||
\(728\) | 4.68234 | − | 26.5549i | 0.173539 | − | 0.984190i | ||||
\(729\) | 13.7086 | − | 23.7439i | 0.507725 | − | 0.879405i | ||||
\(730\) | −4.21427 | − | 7.29933i | −0.155977 | − | 0.270160i | ||||
\(731\) | −27.8197 | + | 10.1255i | −1.02895 | + | 0.374506i | ||||
\(732\) | 14.9008 | − | 25.8089i | 0.550750 | − | 0.953926i | ||||
\(733\) | 21.6995 | − | 18.2081i | 0.801490 | − | 0.672530i | −0.147071 | − | 0.989126i | \(-0.546984\pi\) |
0.948560 | + | 0.316596i | \(0.102540\pi\) | |||||||
\(734\) | −27.4648 | −1.01374 | ||||||||
\(735\) | 31.4087 | − | 26.3550i | 1.15853 | − | 0.972119i | ||||
\(736\) | 4.01300 | + | 1.46061i | 0.147921 | + | 0.0538388i | ||||
\(737\) | 3.70195 | + | 20.9948i | 0.136363 | + | 0.773353i | ||||
\(738\) | −4.92629 | + | 27.9384i | −0.181339 | + | 1.02843i | ||||
\(739\) | 18.4183 | 0.677528 | 0.338764 | − | 0.940871i | \(-0.389991\pi\) | ||||
0.338764 | + | 0.940871i | \(0.389991\pi\) | |||||||
\(740\) | 2.95912 | + | 5.31447i | 0.108779 | + | 0.195364i | ||||
\(741\) | 31.6378 | 1.16224 | ||||||||
\(742\) | 8.37364 | − | 47.4893i | 0.307406 | − | 1.74339i | ||||
\(743\) | 7.87600 | + | 44.6670i | 0.288942 | + | 1.63867i | 0.690853 | + | 0.722995i | \(0.257235\pi\) |
−0.401911 | + | 0.915679i | \(0.631654\pi\) | |||||||
\(744\) | 1.08448 | + | 0.394720i | 0.0397591 | + | 0.0144711i | ||||
\(745\) | −4.56805 | + | 3.83305i | −0.167360 | + | 0.140432i | ||||
\(746\) | −22.2341 | −0.814047 | ||||||||
\(747\) | 0.289539 | − | 0.242952i | 0.0105937 | − | 0.00888915i | ||||
\(748\) | −5.47927 | + | 9.49037i | −0.200342 | + | 0.347002i | ||||
\(749\) | −48.5621 | + | 17.6752i | −1.77442 | + | 0.645836i | ||||
\(750\) | −1.22712 | − | 2.12543i | −0.0448080 | − | 0.0776097i | ||||
\(751\) | 17.6690 | − | 30.6035i | 0.644750 | − | 1.11674i | −0.339610 | − | 0.940567i | \(-0.610295\pi\) |
0.984359 | − | 0.176173i | \(-0.0563718\pi\) | |||||||
\(752\) | −1.54394 | + | 8.75612i | −0.0563017 | + | 0.319303i | ||||
\(753\) | 34.2561 | + | 12.4682i | 1.24836 | + | 0.454366i | ||||
\(754\) | −1.68442 | − | 2.91750i | −0.0613429 | − | 0.106249i | ||||
\(755\) | 13.0166 | + | 10.9222i | 0.473723 | + | 0.397501i | ||||
\(756\) | −0.212962 | − | 0.178697i | −0.00774537 | − | 0.00649913i | ||||
\(757\) | −10.2103 | + | 3.71626i | −0.371101 | + | 0.135070i | −0.520837 | − | 0.853656i | \(-0.674380\pi\) |
0.149736 | + | 0.988726i | \(0.452158\pi\) | |||||||
\(758\) | −0.690040 | − | 3.91341i | −0.0250634 | − | 0.142142i | ||||
\(759\) | −3.11583 | − | 17.6707i | −0.113097 | − | 0.641407i | ||||
\(760\) | 2.18733 | − | 0.796123i | 0.0793428 | − | 0.0288784i | ||||
\(761\) | −19.9205 | − | 16.7152i | −0.722116 | − | 0.605927i | 0.205854 | − | 0.978583i | \(-0.434003\pi\) |
−0.927970 | + | 0.372655i | \(0.878447\pi\) | |||||||
\(762\) | −19.6890 | − | 16.5210i | −0.713256 | − | 0.598493i | ||||
\(763\) | 1.82268 | + | 3.15698i | 0.0659856 | + | 0.114290i | ||||
\(764\) | 3.68969 | + | 1.34294i | 0.133488 | + | 0.0485857i | ||||
\(765\) | 3.36042 | − | 19.0579i | 0.121496 | − | 0.689040i | ||||
\(766\) | −16.0397 | + | 27.7816i | −0.579539 | + | 1.00379i | ||||
\(767\) | −9.87962 | − | 17.1120i | −0.356732 | − | 0.617878i | ||||
\(768\) | −2.30623 | + | 0.839397i | −0.0832188 | + | 0.0302891i | ||||
\(769\) | −2.54703 | + | 4.41159i | −0.0918483 | + | 0.159086i | −0.908289 | − | 0.418344i | \(-0.862611\pi\) |
0.816441 | + | 0.577429i | \(0.195944\pi\) | |||||||
\(770\) | −6.38543 | + | 5.35801i | −0.230115 | + | 0.193089i | ||||
\(771\) | −13.3715 | −0.481562 | ||||||||
\(772\) | 2.12766 | − | 1.78532i | 0.0765763 | − | 0.0642551i | ||||
\(773\) | −15.5676 | − | 5.66613i | −0.559927 | − | 0.203797i | 0.0465248 | − | 0.998917i | \(-0.485185\pi\) |
−0.606452 | + | 0.795120i | \(0.707408\pi\) | |||||||
\(774\) | 2.42809 | + | 13.7704i | 0.0872759 | + | 0.494966i | ||||
\(775\) | −0.0816566 | + | 0.463098i | −0.00293319 | + | 0.0166350i | ||||
\(776\) | −4.87556 | −0.175022 | ||||||||
\(777\) | −37.3170 | + | 62.3750i | −1.33874 | + | 2.23769i | ||||
\(778\) | −18.1671 | −0.651321 | ||||||||
\(779\) | 3.79291 | − | 21.5106i | 0.135895 | − | 0.770698i | ||||
\(780\) | −2.36019 | − | 13.3853i | −0.0845085 | − | 0.479271i | ||||
\(781\) | 15.0695 | + | 5.48485i | 0.539230 | + | 0.196264i | ||||
\(782\) | −20.9404 | + | 17.5711i | −0.748827 | + | 0.628340i | ||||
\(783\) | −0.0347325 | −0.00124124 | ||||||||
\(784\) | 12.7978 | − | 10.7386i | 0.457063 | − | 0.383521i | ||||
\(785\) | 2.69150 | − | 4.66181i | 0.0960637 | − | 0.166387i | ||||
\(786\) | −28.9948 | + | 10.5532i | −1.03421 | + | 0.376422i | ||||
\(787\) | 13.8263 | + | 23.9479i | 0.492856 | + | 0.853651i | 0.999966 | − | 0.00822973i | \(-0.00261963\pi\) |
−0.507110 | + | 0.861881i | \(0.669286\pi\) | |||||||
\(788\) | 7.12154 | − | 12.3349i | 0.253694 | − | 0.439412i | ||||
\(789\) | 11.8181 | − | 67.0240i | 0.420737 | − | 2.38612i | ||||
\(790\) | 9.67325 | + | 3.52078i | 0.344159 | + | 0.125264i | ||||
\(791\) | −6.53185 | − | 11.3135i | −0.232246 | − | 0.402262i | ||||
\(792\) | 3.96492 | + | 3.32697i | 0.140887 | + | 0.118219i | ||||
\(793\) | 51.5156 | + | 43.2267i | 1.82937 | + | 1.53503i | ||||
\(794\) | −22.0425 | + | 8.02280i | −0.782258 | + | 0.284719i | ||||
\(795\) | −4.22084 | − | 23.9376i | −0.149698 | − | 0.848978i | ||||
\(796\) | 2.54550 | + | 14.4362i | 0.0902227 | + | 0.511678i | ||||
\(797\) | −29.9554 | + | 10.9029i | −1.06108 | + | 0.386200i | −0.812833 | − | 0.582497i | \(-0.802076\pi\) |
−0.248244 | + | 0.968698i | \(0.579853\pi\) | |||||||
\(798\) | 21.3074 | + | 17.8790i | 0.754273 | + | 0.632911i | ||||
\(799\) | −43.5975 | − | 36.5827i | −1.54237 | − | 1.29420i | ||||
\(800\) | −0.500000 | − | 0.866025i | −0.0176777 | − | 0.0306186i | ||||
\(801\) | 9.23100 | + | 3.35981i | 0.326161 | + | 0.118713i | ||||
\(802\) | 0.478573 | − | 2.71412i | 0.0168990 | − | 0.0958389i | ||||
\(803\) | −7.21485 | + | 12.4965i | −0.254606 | + | 0.440991i | ||||
\(804\) | −15.2806 | − | 26.4669i | −0.538907 | − | 0.933414i | ||||
\(805\) | −19.5389 | + | 7.11158i | −0.688656 | + | 0.250650i | ||||
\(806\) | −1.30212 | + | 2.25535i | −0.0458654 | + | 0.0794412i | ||||
\(807\) | −34.1924 | + | 28.6908i | −1.20363 | + | 1.00996i | ||||
\(808\) | 15.9669 | 0.561713 | ||||||||
\(809\) | −40.3266 | + | 33.8381i | −1.41781 | + | 1.18968i | −0.465308 | + | 0.885149i | \(0.654056\pi\) |
−0.952501 | + | 0.304534i | \(0.901499\pi\) | |||||||
\(810\) | 8.39114 | + | 3.05412i | 0.294835 | + | 0.107311i | ||||
\(811\) | −1.03825 | − | 5.88823i | −0.0364580 | − | 0.206764i | 0.961137 | − | 0.276070i | \(-0.0890323\pi\) |
−0.997595 | + | 0.0693069i | \(0.977921\pi\) | |||||||
\(812\) | 0.514305 | − | 2.91677i | 0.0180486 | − | 0.102359i | ||||
\(813\) | 57.9187 | 2.03130 | ||||||||
\(814\) | 5.34643 | − | 8.93650i | 0.187392 | − | 0.313224i | ||||
\(815\) | 11.0118 | 0.385727 | ||||||||
\(816\) | 2.72793 | − | 15.4709i | 0.0954968 | − | 0.541589i | ||||
\(817\) | −1.86947 | − | 10.6023i | −0.0654043 | − | 0.370926i | ||||
\(818\) | −27.9696 | − | 10.1801i | −0.977933 | − | 0.355939i | ||||
\(819\) | 62.4487 | − | 52.4007i | 2.18213 | − | 1.83103i | ||||
\(820\) | −9.38368 | −0.327692 | ||||||||
\(821\) | 11.4912 | − | 9.64226i | 0.401045 | − | 0.336517i | −0.419852 | − | 0.907593i | \(-0.637918\pi\) |
0.820898 | + | 0.571075i | \(0.193474\pi\) | |||||||
\(822\) | 0.805128 | − | 1.39452i | 0.0280821 | − | 0.0486396i | ||||
\(823\) | −5.89318 | + | 2.14494i | −0.205423 | + | 0.0747680i | −0.442683 | − | 0.896678i | \(-0.645973\pi\) |
0.237259 | + | 0.971446i | \(0.423751\pi\) | |||||||
\(824\) | −3.88600 | − | 6.73075i | −0.135375 | − | 0.234477i | ||||
\(825\) | −2.10083 | + | 3.63874i | −0.0731415 | + | 0.126685i | ||||
\(826\) | 3.01655 | − | 17.1077i | 0.104959 | − | 0.595254i | ||||
\(827\) | 12.3711 | + | 4.50270i | 0.430184 | + | 0.156574i | 0.548032 | − | 0.836458i | \(-0.315377\pi\) |
−0.117848 | + | 0.993032i | \(0.537600\pi\) | |||||||
\(828\) | 6.45549 | + | 11.1812i | 0.224344 | + | 0.388575i | ||||
\(829\) | −7.23878 | − | 6.07406i | −0.251413 | − | 0.210961i | 0.508367 | − | 0.861140i | \(-0.330249\pi\) |
−0.759781 | + | 0.650180i | \(0.774694\pi\) | |||||||
\(830\) | 0.0957703 | + | 0.0803608i | 0.00332424 | + | 0.00278937i | ||||
\(831\) | −57.6887 | + | 20.9970i | −2.00120 | + | 0.728377i | ||||
\(832\) | −0.961682 | − | 5.45397i | −0.0333403 | − | 0.189082i | ||||
\(833\) | 18.5694 | + | 105.312i | 0.643391 | + | 3.64885i | ||||
\(834\) | 38.3582 | − | 13.9613i | 1.32824 | − | 0.483439i | ||||
\(835\) | 1.66360 | + | 1.39592i | 0.0575712 | + | 0.0483079i | ||||
\(836\) | −3.05272 | − | 2.56154i | −0.105581 | − | 0.0885926i | ||||
\(837\) | 0.0134248 | + | 0.0232525i | 0.000464030 | + | 0.000803723i | ||||
\(838\) | −20.2709 | − | 7.37802i | −0.700248 | − | 0.254869i | ||||
\(839\) | 4.25764 | − | 24.1463i | 0.146990 | − | 0.833622i | −0.818758 | − | 0.574139i | \(-0.805337\pi\) |
0.965748 | − | 0.259483i | \(-0.0835520\pi\) | |||||||
\(840\) | 5.97472 | − | 10.3485i | 0.206147 | − | 0.357058i | ||||
\(841\) | 14.3150 | + | 24.7943i | 0.493620 | + | 0.854975i | ||||
\(842\) | 18.7146 | − | 6.81155i | 0.644947 | − | 0.234741i | ||||
\(843\) | −23.0841 | + | 39.9828i | −0.795059 | + | 1.37708i | ||||
\(844\) | 1.56550 | − | 1.31361i | 0.0538868 | − | 0.0452164i | ||||
\(845\) | 17.6706 | 0.607888 | ||||||||
\(846\) | −20.5916 | + | 17.2784i | −0.707954 | + | 0.594044i | ||||
\(847\) | −36.9181 | − | 13.4371i | −1.26852 | − | 0.461704i | ||||
\(848\) | −1.71982 | − | 9.75358i | −0.0590588 | − | 0.334939i | ||||
\(849\) | −5.47267 | + | 31.0370i | −0.187821 | + | 1.06519i | ||||
\(850\) | 6.40100 | 0.219552 | ||||||||
\(851\) | 20.1565 | − | 16.3861i | 0.690955 | − | 0.561709i | ||||
\(852\) | −22.9892 | −0.787599 | ||||||||
\(853\) | 3.79114 | − | 21.5006i | 0.129806 | − | 0.736167i | −0.848531 | − | 0.529146i | \(-0.822512\pi\) |
0.978337 | − | 0.207020i | \(-0.0663767\pi\) | |||||||
\(854\) | 10.2666 | + | 58.2247i | 0.351315 | + | 1.99241i | ||||
\(855\) | 6.61288 | + | 2.40689i | 0.226156 | + | 0.0823139i | ||||
\(856\) | −8.13081 | + | 6.82256i | −0.277906 | + | 0.233190i | ||||
\(857\) | −35.2949 | −1.20565 | −0.602826 | − | 0.797873i | \(-0.705959\pi\) | ||||
−0.602826 | + | 0.797873i | \(0.705959\pi\) | |||||||
\(858\) | −17.8253 | + | 14.9572i | −0.608544 | + | 0.510629i | ||||
\(859\) | −10.7355 | + | 18.5945i | −0.366291 | + | 0.634435i | −0.988983 | − | 0.148032i | \(-0.952706\pi\) |
0.622691 | + | 0.782468i | \(0.286039\pi\) | |||||||
\(860\) | −4.34615 | + | 1.58187i | −0.148202 | + | 0.0539413i | ||||
\(861\) | −56.0649 | − | 97.1072i | −1.91069 | − | 3.30941i | ||||
\(862\) | 3.26992 | − | 5.66366i | 0.111374 | − | 0.192905i | ||||
\(863\) | −2.32739 | + | 13.1993i | −0.0792251 | + | 0.449308i | 0.919229 | + | 0.393724i | \(0.128813\pi\) |
−0.998454 | + | 0.0555844i | \(0.982298\pi\) | |||||||
\(864\) | −0.0536541 | − | 0.0195285i | −0.00182535 | − | 0.000664373i | ||||
\(865\) | 0.792889 | + | 1.37332i | 0.0269590 | + | 0.0466944i | ||||
\(866\) | −18.3224 | − | 15.3744i | −0.622622 | − | 0.522442i | ||||
\(867\) | 45.0701 | + | 37.8183i | 1.53066 | + | 1.28438i | ||||
\(868\) | −2.15149 | + | 0.783077i | −0.0730262 | + | 0.0265794i | ||||
\(869\) | −3.06028 | − | 17.3557i | −0.103813 | − | 0.588753i | ||||
\(870\) | −0.259242 | − | 1.47023i | −0.00878912 | − | 0.0498456i | ||||
\(871\) | 64.8041 | − | 23.5868i | 2.19580 | − | 0.799208i | ||||
\(872\) | 0.573540 | + | 0.481257i | 0.0194225 | + | 0.0162974i | ||||
\(873\) | −11.2916 | − | 9.47476i | −0.382162 | − | 0.320672i | ||||
\(874\) | −4.97029 | − | 8.60879i | −0.168122 | − | 0.291197i | ||||
\(875\) | 4.57528 | + | 1.66527i | 0.154673 | + | 0.0562962i | ||||
\(876\) | 3.59202 | − | 20.3714i | 0.121363 | − | 0.688284i | ||||
\(877\) | −20.3474 | + | 35.2427i | −0.687083 | + | 1.19006i | 0.285695 | + | 0.958321i | \(0.407776\pi\) |
−0.972777 | + | 0.231741i | \(0.925558\pi\) | |||||||
\(878\) | 2.69757 | + | 4.67233i | 0.0910386 | + | 0.157684i | ||||
\(879\) | −53.9246 | + | 19.6269i | −1.81883 | + | 0.662000i | ||||
\(880\) | −0.856002 | + | 1.48264i | −0.0288558 | + | 0.0499797i | ||||
\(881\) | −11.0491 | + | 9.27128i | −0.372253 | + | 0.312357i | −0.809652 | − | 0.586910i | \(-0.800344\pi\) |
0.437399 | + | 0.899268i | \(0.355900\pi\) | |||||||
\(882\) | 50.5075 | 1.70068 | ||||||||
\(883\) | 33.2491 | − | 27.8993i | 1.11892 | − | 0.938888i | 0.120373 | − | 0.992729i | \(-0.461591\pi\) |
0.998550 | + | 0.0538410i | \(0.0171464\pi\) | |||||||
\(884\) | 33.3115 | + | 12.1244i | 1.12039 | + | 0.407788i | ||||
\(885\) | −1.52053 | − | 8.62336i | −0.0511121 | − | 0.289871i | ||||
\(886\) | −5.99399 | + | 33.9936i | −0.201372 | + | 1.14204i | ||||
\(887\) | 20.2646 | 0.680419 | 0.340210 | − | 0.940350i | \(-0.389502\pi\) | ||||
0.340210 | + | 0.940350i | \(0.389502\pi\) | |||||||
\(888\) | −2.82055 | + | 14.6596i | −0.0946514 | + | 0.491946i | ||||
\(889\) | 50.9900 | 1.71015 | ||||||||
\(890\) | −0.564231 | + | 3.19991i | −0.0189131 | + | 0.107261i | ||||
\(891\) | −2.65467 | − | 15.0554i | −0.0889347 | − | 0.504374i | ||||
\(892\) | 8.36560 | + | 3.04483i | 0.280101 | + | 0.101948i | ||||
\(893\) | 15.8541 | − | 13.3032i | 0.530539 | − | 0.445175i | ||||
\(894\) | −14.6350 | −0.489468 | ||||||||
\(895\) | 7.52107 | − | 6.31093i | 0.251402 | − | 0.210951i | ||||
\(896\) | 2.43445 | − | 4.21660i | 0.0813294 | − | 0.140867i | ||||
\(897\) | −54.5439 | + | 19.8523i | −1.82117 | + | 0.662851i | ||||
\(898\) | −10.6561 | − | 18.4570i | −0.355600 | − | 0.615918i | ||||
\(899\) | −0.143024 | + | 0.247726i | −0.00477013 | + | 0.00826211i | ||||
\(900\) | 0.524984 | − | 2.97733i | 0.0174995 | − | 0.0992445i | ||||
\(901\) | 59.5725 | + | 21.6826i | 1.98465 | + | 0.722353i | ||||
\(902\) | 8.03245 | + | 13.9126i | 0.267451 | + | 0.463239i | ||||
\(903\) | −42.3370 | − | 35.5250i | −1.40889 | − | 1.18220i | ||||
\(904\) | −2.05536 | − | 1.72466i | −0.0683604 | − | 0.0573612i | ||||
\(905\) | 13.4175 | − | 4.88359i | 0.446014 | − | 0.162336i | ||||
\(906\) | 7.24153 | + | 41.0688i | 0.240584 | + | 1.36442i | ||||
\(907\) | −7.17503 | − | 40.6916i | −0.238243 | − | 1.35114i | −0.835675 | − | 0.549224i | \(-0.814923\pi\) |
0.597432 | − | 0.801920i | \(-0.296188\pi\) | |||||||
\(908\) | −1.65772 | + | 0.603360i | −0.0550133 | + | 0.0200232i | ||||
\(909\) | 36.9786 | + | 31.0287i | 1.22650 | + | 1.02916i | ||||
\(910\) | 20.6560 | + | 17.3325i | 0.684741 | + | 0.574566i | ||||
\(911\) | −22.0893 | − | 38.2598i | −0.731850 | − | 1.26760i | −0.956091 | − | 0.293068i | \(-0.905324\pi\) |
0.224241 | − | 0.974534i | \(-0.428010\pi\) | |||||||
\(912\) | 5.36822 | + | 1.95387i | 0.177760 | + | 0.0646992i | ||||
\(913\) | 0.0371665 | − | 0.210782i | 0.00123003 | − | 0.00697586i | ||||
\(914\) | 14.2965 | − | 24.7622i | 0.472885 | − | 0.819060i | ||||
\(915\) | 14.9008 | + | 25.8089i | 0.492605 | + | 0.853218i | ||||
\(916\) | 20.4372 | − | 7.43855i | 0.675266 | − | 0.245777i | ||||
\(917\) | 30.6069 | − | 53.0128i | 1.01073 | − | 1.75064i | ||||
\(918\) | 0.279975 | − | 0.234927i | 0.00924054 | − | 0.00775374i | ||||
\(919\) | −20.9657 | −0.691595 | −0.345798 | − | 0.938309i | \(-0.612392\pi\) | ||||
−0.345798 | + | 0.938309i | \(0.612392\pi\) | |||||||
\(920\) | −3.27142 | + | 2.74505i | −0.107856 | + | 0.0905016i | ||||
\(921\) | 19.7786 | + | 7.19883i | 0.651728 | + | 0.237210i | ||||
\(922\) | −4.58767 | − | 26.0180i | −0.151087 | − | 0.856856i | ||||
\(923\) | 9.00825 | − | 51.0883i | 0.296510 | − | 1.68159i | ||||
\(924\) | −20.4575 | −0.673002 | ||||||||
\(925\) | −6.08203 | − | 0.0945612i | −0.199976 | − | 0.00310915i | ||||
\(926\) | −22.7283 | −0.746897 | ||||||||
\(927\) | 4.08018 | − | 23.1399i | 0.134011 | − | 0.760013i | ||||
\(928\) | −0.105630 | − | 0.599060i | −0.00346749 | − | 0.0196651i | ||||
\(929\) | 19.3995 | + | 7.06084i | 0.636476 | + | 0.231658i | 0.640048 | − | 0.768335i | \(-0.278915\pi\) |
−0.00357128 | + | 0.999994i | \(0.501137\pi\) | |||||||
\(930\) | −0.884079 | + | 0.741831i | −0.0289901 | + | 0.0243256i | ||||
\(931\) | −38.8874 | −1.27448 | ||||||||
\(932\) | −9.35044 | + | 7.84595i | −0.306284 | + | 0.257003i | ||||
\(933\) | −3.60047 | + | 6.23619i | −0.117874 | + | 0.204164i | ||||
\(934\) | −30.2681 | + | 11.0167i | −0.990402 | + | 0.360477i | ||||
\(935\) | −5.47927 | − | 9.49037i | −0.179191 | − | 0.310368i | ||||
\(936\) | 8.37158 | − | 14.5000i | 0.273634 | − | 0.473947i | ||||
\(937\) | 6.41831 | − | 36.4000i | 0.209677 | − | 1.18914i | −0.680231 | − | 0.732998i | \(-0.738121\pi\) |
0.889908 | − | 0.456140i | \(-0.150768\pi\) | |||||||
\(938\) | 56.9735 | + | 20.7367i | 1.86025 | + | 0.677076i | ||||
\(939\) | −35.3865 | − | 61.2912i | −1.15479 | − | 2.00016i | ||||
\(940\) | −6.81105 | − | 5.71515i | −0.222152 | − | 0.186408i | ||||
\(941\) | 12.4649 | + | 10.4593i | 0.406343 | + | 0.340963i | 0.822939 | − | 0.568129i | \(-0.192333\pi\) |
−0.416596 | + | 0.909092i | \(0.636777\pi\) | |||||||
\(942\) | 12.4144 | − | 4.51847i | 0.404483 | − | 0.147220i | ||||
\(943\) | 6.95867 | + | 39.4646i | 0.226606 | + | 1.28514i | ||||
\(944\) | −0.619554 | − | 3.51366i | −0.0201648 | − | 0.114360i | ||||
\(945\) | 0.261237 | − | 0.0950825i | 0.00849804 | − | 0.00309303i | ||||
\(946\) | 6.06565 | + | 5.08968i | 0.197211 | + | 0.165480i | ||||
\(947\) | 14.4222 | + | 12.1017i | 0.468658 | + | 0.393251i | 0.846305 | − | 0.532699i | \(-0.178822\pi\) |
−0.377647 | + | 0.925950i | \(0.623267\pi\) | |||||||
\(948\) | 12.6320 | + | 21.8793i | 0.410269 | + | 0.710607i | ||||
\(949\) | 43.8631 | + | 15.9649i | 1.42386 | + | 0.518242i | ||||
\(950\) | −0.404202 | + | 2.29235i | −0.0131141 | + | 0.0743735i | ||||
\(951\) | 38.6552 | − | 66.9528i | 1.25348 | − | 2.17109i | ||||
\(952\) | 15.5829 | + | 26.9904i | 0.505046 | + | 0.874765i | ||||
\(953\) | −8.99836 | + | 3.27513i | −0.291485 | + | 0.106092i | −0.483624 | − | 0.875276i | \(-0.660680\pi\) |
0.192139 | + | 0.981368i | \(0.438458\pi\) | |||||||
\(954\) | 14.9713 | − | 25.9310i | 0.484713 | − | 0.839547i | ||||
\(955\) | −3.00786 | + | 2.52389i | −0.0973320 | + | 0.0816713i | ||||
\(956\) | 8.01679 | 0.259281 | ||||||||
\(957\) | −1.95791 | + | 1.64288i | −0.0632904 | + | 0.0531069i | ||||
\(958\) | −17.4197 | − | 6.34026i | −0.562806 | − | 0.204845i | ||||
\(959\) | 0.554729 | + | 3.14602i | 0.0179131 | + | 0.101590i | ||||
\(960\) | 0.426173 | − | 2.41695i | 0.0137547 | − | 0.0780067i | ||||
\(961\) | −30.7789 | −0.992867 | ||||||||
\(962\) | −31.4725 | − | 12.0123i | −1.01471 | − | 0.387293i | ||||
\(963\) | −32.0890 | −1.03405 | ||||||||
\(964\) | −2.42969 | + | 13.7795i | −0.0782551 | + | 0.443807i | ||||
\(965\) | 0.482302 | + | 2.73527i | 0.0155259 | + | 0.0880515i | ||||
\(966\) | −47.9531 | − | 17.4535i | −1.54286 | − | 0.561557i | ||||
\(967\) | −17.2102 | + | 14.4410i | −0.553442 | + | 0.464393i | −0.876104 | − | 0.482121i | \(-0.839866\pi\) |
0.322663 | + | 0.946514i | \(0.395422\pi\) | |||||||
\(968\) | −8.06905 | −0.259349 | ||||||||
\(969\) | −28.0121 | + | 23.5050i | −0.899880 | + | 0.755089i | ||||
\(970\) | 2.43778 | − | 4.22236i | 0.0782724 | − | 0.135572i | ||||
\(971\) | −0.857329 | + | 0.312042i | −0.0275130 | + | 0.0100139i | −0.355740 | − | 0.934585i | \(-0.615771\pi\) |
0.328227 | + | 0.944599i | \(0.393549\pi\) | |||||||
\(972\) | 11.0434 | + | 19.1277i | 0.354217 | + | 0.613522i | ||||
\(973\) | −40.4910 | + | 70.1325i | −1.29808 | + | 2.24834i | ||||
\(974\) | −0.452600 | + | 2.56682i | −0.0145022 | + | 0.0822462i | ||||
\(975\) | 12.7721 | + | 4.64867i | 0.409035 | + | 0.148877i | ||||
\(976\) | 6.07147 | + | 10.5161i | 0.194343 | + | 0.336612i | ||||
\(977\) | 30.1202 | + | 25.2739i | 0.963631 | + | 0.808583i | 0.981540 | − | 0.191257i | \(-0.0612563\pi\) |
−0.0179086 | + | 0.999840i | \(0.505701\pi\) | |||||||
\(978\) | 20.7028 | + | 17.3717i | 0.662003 | + | 0.555486i | ||||
\(979\) | 5.22730 | − | 1.90258i | 0.167065 | − | 0.0608067i | ||||
\(980\) | 2.90102 | + | 16.4525i | 0.0926695 | + | 0.525555i | ||||
\(981\) | 0.393057 | + | 2.22914i | 0.0125494 | + | 0.0711709i | ||||
\(982\) | −2.66288 | + | 0.969210i | −0.0849760 | + | 0.0309287i | ||||
\(983\) | 3.45932 | + | 2.90271i | 0.110335 | + | 0.0925822i | 0.696286 | − | 0.717764i | \(-0.254834\pi\) |
−0.585951 | + | 0.810346i | \(0.699279\pi\) | |||||||
\(984\) | −17.6418 | − | 14.8032i | −0.562400 | − | 0.471910i | ||||
\(985\) | 7.12154 | + | 12.3349i | 0.226911 | + | 0.393022i | ||||
\(986\) | 3.65892 | + | 1.33174i | 0.116524 | + | 0.0424111i | ||||
\(987\) | 18.4492 | − | 104.631i | 0.587245 | − | 3.33043i | ||||
\(988\) | −6.44555 | + | 11.1640i | −0.205060 | + | 0.355175i | ||||
\(989\) | 9.87578 | + | 17.1054i | 0.314032 | + | 0.543919i | ||||
\(990\) | −4.86370 | + | 1.77024i | −0.154578 | + | 0.0562620i | ||||
\(991\) | −2.73942 | + | 4.74481i | −0.0870204 | + | 0.150724i | −0.906250 | − | 0.422741i | \(-0.861068\pi\) |
0.819230 | + | 0.573465i | \(0.194401\pi\) | |||||||
\(992\) | −0.360226 | + | 0.302266i | −0.0114372 | + | 0.00959694i | ||||
\(993\) | 20.0578 | 0.636514 | ||||||||
\(994\) | 34.9377 | − | 29.3162i | 1.10816 | − | 0.929854i | ||||
\(995\) | −13.7749 | − | 5.01365i | −0.436693 | − | 0.158943i | ||||
\(996\) | 0.0532799 | + | 0.302165i | 0.00168824 | + | 0.00957447i | ||||
\(997\) | 3.25566 | − | 18.4638i | 0.103108 | − | 0.584754i | −0.888851 | − | 0.458196i | \(-0.848496\pi\) |
0.991959 | − | 0.126558i | \(-0.0403930\pi\) | |||||||
\(998\) | −12.3234 | −0.390090 | ||||||||
\(999\) | −0.269494 | + | 0.219084i | −0.00852641 | + | 0.00693151i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 370.2.o.a.181.3 | ✓ | 18 | |
37.9 | even | 9 | inner | 370.2.o.a.231.3 | yes | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.o.a.181.3 | ✓ | 18 | 1.1 | even | 1 | trivial | |
370.2.o.a.231.3 | yes | 18 | 37.9 | even | 9 | inner |